Question

HELP ME PLSSS!

The graph below have a same shape what is the equation of the red graph?

A) g(x)=(3-x)2
B) g(x)=3-x2
C) g(x)=2-x2
D) g(x)=(2-x)2

Answer 1

2-x^2

Step-by-step explanation:

Answer 2

Answer: choice C) g(x) = 2-x^2

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Step-by-step explanation:

The y intercept of the blue curve f(x) is (0,5)

The y intercept of the red curve g(x) is (0,2)

We see that the y intercept has been shifted down 3 units when going from f(x) to g(x). Overall, the entire f(x) curve has been shifted down 3 units to get the g(x) curve.

Based on that, we would say

g(x) = f(x) - 3

g(x) = (5-x^2) - 3

g(x) = -x^2 + (5 - 3)

g(x) = -x^2 + 2

g(x) = 2 - x^2 ..... answer is choice C