Question

In the function y+2=1/3(x-4)^2

Answer 1

Answer:

The negative 4 translates the original function 4 units horizontally to the right

Step-by-step explanation:

The transformed graph is  $y+2=\frac{1}{3}(x-4)^2$

and the parent function is  $y=x^2$

We need to find what effect does the "4" in the transformed function have with respect to the parent function. Lets look at a general form of a transformed quadratic function and see what each variable means:

$y+b=a(x-c)^2$

This is the general form.

• +b means the graph is vertically translated b units down
• -b would have meant the graph would have been vertically translated b units up
• a transforms the parent by vertically stretching or compressing
• -c means the parent is shifted c units right
• +c would have meant the parent will be shifted c units left

In our transformed graph, we have a "-4", this means, according to the rules above, that:

the parent function is shifted 4 units to the right