Question

Give an equation for the graph of y=f(x) if we apply these transformations translate up 2 units vertical dilation by a factor of 3 translate right 2 units

Answer 1

SOLUTION:

Case: Equation of a graph

Method:

Let the equation be:

$y=x^2$

Transformation 1:

Translate 2 units up

$y=x^2+2$

Transformation 2:

Vertical dilation by a factor of 3

$y=\frac{1}{3}x^2+2$

Transformation 3:

$y=\frac{1}{3}(x-2)^2+2$

Final answer:

$y=\frac{1}{3}(x-2)^2+2$