Question

Describe the translations applied to the graph of y 5 x2 to obtain a K graph of each quadratic function. Sketch the graph.

y=(x-5)^2+3

Answer 1

First

The general equation

$y=a(x-h)²+k$

Where (h,k) is the turning point.

Y1=5(x)²

Y2=(x-5)²+3

Translation are

Horizontal shift by -5 units

Vertical shift by +3 units

Vertical compression by 1/5