Drag the correct graph of each equation into the space next to that equation to show how the output y

-values change with changes in the input values, x
.

CLEAR CHECK
Relationship

Equation

Graph

Linear

y=x+3
Quadratic

y=3x2
Exponential

y=3x

Linear

y=x+3
Graph: A straight line with a positive slope, crossing the y-axis at 3.

Quadratic

y=3x^2
Graph: A U-shaped curve opening upwards.

Exponential

y=3^x
Graph: A curve that starts near the y-axis and quickly increases in steepness as x increases.