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3 years ago

I need the parent function and the transformation with some explanation, thank you.

Mathematics

1 answer:

True [87]3 years ago

7 0

Answer:

parent: y = x²
transformed: y = -3x² +4

Step-by-step explanation:

You have correctly recognized that the function is quadratic, so has parent function y = x².

You may notice that the function drops by 3 units when x increases or decreases by 1 unit from the vertex. That factor (-3) is the vertical scale factor in the transformed function ...

f(x) = a(x -h)² +k

where "a" is the vertical scale factor and (h, k) is the location of the vertex of the transformed function.

We note that the graphed function has its vertex at (h, k) = (0, 4), so the complete transformed function with a=-3, h=0, k=4 is ...

f(x) = -3x² +4

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What are 2 things that do not define a rectangular prism

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Answer:

* Being round/circular

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4 years ago

in circle O the radius is 4ft and the measure of minor arc ab is 120 degrees find the length of minor arc ab to the nearest inte

KIM [24]

Answer:

$8\:\text{ft}$

Step-by-step explanation:

The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be $\frac{120}{360}=\frac{1}{3}$ of the circle's length (circumference).

The circumference of a circle is given by $2\pi r$ , where $r$ is the radius of the circle. Therefore, the circumference of the circle is $2\pi(4)=8\pi$ . As we found earlier, the length of the arc is $\frac{1}{3}$ of this circumference. Therefore, the arc's length is $8\pi\cdot \frac{1}{3}=\frac{8\pi}{3}$ .

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3 years ago

For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Th

Reptile [31]

Answer:

(a) (x-2)^2 +(y-2)^2 = 16

(b) r = 2

Step-by-step explanation:

(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.

Circle centered at (h, k) with radius r:

(x -h)^2 +(y -k)^2 = r^2

The given circle is ...

(x -2)^2 +(y -2)^2 = 16

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r = 2

6 0

3 years ago

A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 8y + 7z = 1 Which of the

Sergeeva-Olga [200]

<span>P: y + z = 6
Q: 8y + 7z = 1

A. This makes y = -8Y which will eliminate the "y"'s when the equations are added.

</span>

4 0

3 years ago

Read 2 more answers

If you rearrange the equation so w is the independent variable, then what is u?<br><br> -2u+6w=9

Serjik [45]

Answer:

u = - ( 9-6w)/2

Step-by-step explanation:

to evaluate for u in the expression -2u+6w=9 is simply to look for a way such that we would express u in terms of w and other variables.

solution

-2u+6w=9

-2u = 9 - 6w

divide both sides by the coefficient of u which is -2

-2u/u = 9 - 6w/-2

u = - ( 9-6w)/2

therefore the value of u when rearranged in the equation -2u+6w=9 is evaluated to be equals to

u = - ( 9-6w)/2

7 0

3 years ago