The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.
What is the effect on the parabola?First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:
g(x) =f(x) + N
Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.
In this case, we start with the parabola:
y = f(x) = x^2 - 1
Now we know that the transformed function is:
y = g(x) = x^2 + 6
Now, notice that if we apply a translation upwards of 7 units of the original function we will get:
y = f(x) = x^2 - 1 + 7 = x^2 + 6
We got the transformed function.
Then the effect on the parabola is a translation of 7 units upwards.
Learn more about translations by reading:
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Y is directly proportional to x write a formula in terms of x find the value of y when x is 0.6 find the value of x when y is 38.5
Answer:
a) [tex]x=\frac{y}{k}[/tex]
b) [tex]y=0.6k[/tex]
c) [tex]x=\frac{38.5}{k}[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]y=38.5[/tex]
[tex]x=0.6[/tex]
Generally the equation for the directly proportional variable is mathematically given by
[tex]y \alpha x[/tex]
[tex]y=kx[/tex]
Where
[tex]K=proportionality\ constant[/tex]
a)
The Formula in terms of x
[tex]x=\frac{y}{k}[/tex]
b)
[tex]y=k(0.6)[/tex]
[tex]y=0.6k[/tex]
c)
[tex]38.5=kx[/tex]
[tex]x=\frac{38.5}{k}[/tex]
What are the solutions of the equation 3x^2 +13x=10 ?
5:55 p.m.
Teresa Kwn 2017
Now, look at the time above. If 36 minutes passed, what time would it be? *
You are playing catch with your brother and your sister. In the diagram below, you are represented by vertex A of the triangle, your brother is represented by vertex B, and your sister is represented by vertex C.
Which is closest to the distance between you and your brother?
42 feet
58 feet
40 feet
52 feet
Answer:
42
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Recall the experiment comparing patients 4 weeks after surgery for carpal
tunnel syndrome. The patients who had endoscopic surgery demonstrated
a mean pinch strength of 9.1 kg compared to 7.6 kg for the open- incision
patients.
4. What hypotheses would you test?
5. The P-value of the test was less than 0.05. State a brief conclusion.
Answer:
4. H0: u1= u2 Ha; u1≠ u2
5. The smaller value of p supports the null hypothesis.
Step-by-step explanation:
4. The null and alternate hypotheses are
H0: u1= u2 i.e there no difference between the mean pinch strengthof the two surgeries
against the claim
Ha; u1≠ u2 i.e there a difference between the mean pinch strengthof the two surgeries
It can be written like this as well
H0: u1 -u2= 0 i.e there no difference between the mean pinch strengthof the two surgeries
against the claim
Ha; u1 -u2≠ 0 i.e there a difference between the mean pinch strengthof the two surgeries
Part 5. The test having a p- value less than 0.05 tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.
The smaller value of p supports the null hypothesis.
In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.
Answer:
12.78 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the question:
θ = 122°
r = 6 units
Therefore, the arc length =
2 × π × 6 × (122/360)
= 12.775810125 units
Approximately to the nearest hundredth = 12.78 units
Therefore, the length of arc CE is 12.78 units
PLEASEE GUYS HELP ME WITH THIS QUESTION!!!!
Answer:
y= = -2
Step-by-step explanation:
In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.
23.
20m + on ?
Which expression is equivalent to 54n
Answer:
Choice A, 20(3n-m)
Step-by-step explanation:
First, lets combine like terms for the question 54n - 20m + 6n,
60n - 20m.
Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.
Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.
Choice A:
20(3n-m)
60n-20m
Choice D:
20(m-3n)
20m-60m
With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.
Answer:
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n <<<<<This one
594 < -11n
Step-by-step explanation: I couldnt find my question so here is the answer if you have this on edg :))))
A car’s value depreciates at a rate of 3.4% per year. The car was worth $30,000 when it was new.
Which equation could be used to determine when the car will be worth $18,500, where x is time in years?
A. 18500 = 30000 (0.034)^x
B. 18500 = 30000(0.966)^x
C. 30000 = 18500(0.34)^x
D. 30000 = 18500 (0.966)^x
What is the domain of the function ?
identify the axis of symmetry of the function graphed below
answers:x=1, x=5, x=4, x=3
Answer:
heyyyyy, The answer is x=3
Step-by-step explanation:
Solve to get the value of h
two people can plough a field in 6 hours. how long will it take 1 person
Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)
Answer:
20x +80y -60 hope this helped:)
Step-by-step explanation:
At the Hardey Fitness Center, the management did a survey of their membership. The average age of the female members was 40 years old. The average age of the male members was 25 years old. The average age of the entire membership was 30 years old. What is the ratio of the female to male members? Express your answer as a common fraction.
Answer:
5 / 8
Step-by-step explanation:
Given :
Average age of male = 25
Average age of female = 40
Average age of entire membership = 30
The ratio of female to male students :
Male students : Female students
25 : 40
5 : 8
5/8
What is the answer to part B? explanation please
Answer:
1
Step-by-step explanation:
10³/10³
10³-³
10⁰=1
Formula a¹÷a¹=a¹-¹=a⁰. (Exponents and Powers)
And
a⁰=1
hope it helps..
What is the slope of the line y +3 = (x +4)?
Answer:
m=1, hope this helps <33
Step-by-step explanation:
On a number line 6.49 is located where
HELP!!!! NO LINKS NO LINKS NO LINKS
Answer:
58
Step-by-step explanation:
[tex](2x - 11) \degree = 105 \degree \: (vertical \: angles) \\ \\ 2x - 11 = 105 \\ \\ 2x = 105 + 11 \\ \\ 2x = 116 \\ \\ x = \frac{116}{2} \\ \\ x = 58[/tex]
Answer:
58
Step-by-step explanation:]
Super Speedz Math Skillz
Each of a triangle's angles measures 60°. Is this triangle scalene?
Answer:
No
Step-by-step explanation:
No, because each of the angle in the triangle is 60°
60+60+60=180°
Which this will be an equilateral triangle
The theoretical probability that the spinner lands on the letter B, in simplest form is
Answer:
is there a picture you can insert?
Step-by-step explanation:
5/2 to the power of 3
Answer:
15.625
Step-by-step explanation:
Answer:
15.625 thats the answer
Step-by-step explanation:
Deltamath
Please help me
Answer:
It should be (6, -3) If I am correct- sorry if it isn't
which statement does not describe a normal distribution?
A: The median is equal to the mean
B: The distribution is not symmetric
C: The number of observations trails off as you move away from the mean
D: Most of the observations are near the mean
Answer:
B.
Step-by-step explanation:
The distribution is symmetric
Answer:
B. The distribution is not symmetric
Step-by-step explanation:
the graphs below have the same shape. what is the equation of the red graph?
Answer:
b
Step-by-step explanation
If f(x)=sin(x) and g(x)=sin(2x), which of the following statements is true?
A f(x) is a taller version of g(x).
B g(x) is a taller version of f(x).
C С
The period of f(x) is half the size of g(x).
D
The period of g(x) is half the size of f(x)
The dinning table in the kitchen has a length of 2.3 m & a width of 3 m. Find the area of a sheet that will cover the table top
Answer:
Area= 6.9m²
Step-by-step explanation:
Area= l x w
= 2.3m x 3m
= 6.9m²
2
s=ut + 1/2at^2
Find the value of s when u = 5.2, t=7 and a = 1.6
Answer:
S=75.6
Step-by-step explanation:
[tex] \frac{1}{ 2} [/tex]
Remember ratios must be simplified. To write your ratio you will use the colon symbol,:
Answer:
2:1
Step-by-step explanation:
Look at two corresponding sides in the triangles. The sides measuring 20 and 10 are corresponding sides.
20:10 = 2:1
The scale factor from triangle ABC to triangle DEF is 2:1.
A circle has a diameter of 16 inches. What is the circumference of the circle using function on the calculator?
Answer: 50.26548 (50.27)
Step-by-step explanation:
Circumference = 2 x π x r(radius)
Diameter = 2 x r(radius)
C = π x 16 = 50.26548