Which equation is the inverse of y = 2x2 – 8?
- + x + 8
+VX+8
2
Oy=
NX
x = x +4
+II

A y =  ±sqrt((x+8)/2)

Step-by-step explanation:

y = 2x^2 -8

Exchange x and y

x = 2y^2 -8

Solve for y

Add 8 to each side

x+8 = 2y^2 -8+8

x+8 = 2y^2

Divide each side by 2

(x+8)/2 = 2y^2/2

(x+8)/2 = y^2

Take the square root of each side

±sqrt((x+8)/2) = sqrt(y^2)

±sqrt((x+8)/2) = y

First one

Step-by-step explanation:

y = 2x² - 8

y + 8 = 2x²

x² = (y + 8)2

x = +/- sqrt[(y + 8)/2]

For inverse, interswitch variables

f^-1(x) = +/- sqrt[(x + 8)/2]

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have