### Home > INT3 > Chapter 7 > Lesson 7.2.4 > Problem7-96

7-96.

For each of the transformations below, write a new equation and describe how the parabola $f\left(x\right) = x^{2}$ is transformed.

1. $g\left(x\right) = f\left(x\right) + 3$

Change $f\left(x\right)$ to $x^{2}$ in the equation.

$g(x)= x^2 + 3$

Translated up $3$ units.

1. $h\left(x\right) = 3f\left(x\right)$

$h(x)=3x^2$

1. $j\left(x\right) = f\left(x + 3\right)$