Question

=

Answer 1

Answer:

$g(x)=-(x+1)^2-4$.

Step-by-step explanation:

The parent function is

$f(x)=x^2$

Step 1: Start with the equation $f(x)=x^2$. Write the equation for the graph of g(x) that has been

reflected, or flipped, over the x-axis.

$f_1(x)=-f(x)$

$f_1(x)=-x^2$

Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has

also been shifted down 4 units.

$f_2(x)=f_1(x)-4$

$f_2(x)=-x^2-4$

Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has

also been shifted left 1 unit.

$g(x)=f_2(x+1)$

$g(x)=-(x+1)^2-4$

Therefore, the required equation is $g(x)=-(x+1)^2-4$.