Question

Given f(x) = (x - 4)^2 - 1, what is the change made to g(x) if the parent function is f(x) = x^2?

Answer 1

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

$f(x)$ was moved 4 units right and 1 unit down

2.
$f(x)=x^2\\ g(x) = x^2 + 3$

$f(x)$ was moved 3 units up

3.
$f(x)=x^2\\ g(x)=\dfrac{1}{4}(x-6)^2+8$

$f(x)$ was moved 6 units right, scaled down along the y-axis 4 times and moved 8 unit up

4.
$f(x)=x^2\\ g(x)=-(x-3)^2+2$

$f(x)$ is moved 3 units right, reflected over the x-axis and moved 2 units up
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