Question

Will give medal and fan
Given the two functions below, what is the y-intercept of g(x)?

f(x) = x2
g(x) = f(x –7)

Answer 1

To find the y-intercept, we simply calculate the image of 0 !
We have :
\[g(0)=f(0-7)=f(-7)=(-7)^2=49\]
So the y-intercept of g is in the point (0,49)

Answer 2

The x intercept?

Answer 3

To find the x-intercept we have to solve the equation g(x)=0.
We have :
\[g(x)=0\iff f(x-7)=0
\\\iff (x-7)^2=0
\\\iff x-7=0\\\
x=7.
\]
So : the x-intercept of the g is in the point (7,0)