### Home > INT3 > Chapter 5 > Lesson 5.1.2 > Problem5-37

5-37.

For each of the following functions, describe how different values of $t$ will affect the graph.

1. $y = 3 ( x - t ) ^ { 2 } + 2$

Notice that $t$ is inside of the parentheses with $x$.

Horizontal shift right if $t > 0$
Horizontal shift left if $t < 0$

1. $y = t \left| x - 3 \right| + 4$

Notice that $t$ is "being multiplied".

Vertical stretch for $\left| t \right| > 1$
Vertical compression for $\left| t \right| < 1$
Reflection if $t < 0$