Question

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, x

Answer 1

Answer:

see the explanation and the attached figure

Step-by-step explanation:

Part 1)  Linear

we have

$y=x+3$

This is the equation of the line in slope intercept form

The slope is positive and equal to m=1

The y-intercept is b=3

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

therefore

The graph in the attached figure

Part 2) Quadratic function

we have

$y=3x^2$

This is a vertical parabola open upward with the vertex at origin

As the value of x increases the value of y increases too

As the value of x decreases the value of y increases

therefore

The graph in the attached figure

Part 3) Exponential function

we have

$y=3^x$

This is a exponential growth function

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

The initial value or y-intercept is 3

therefore

The graph in the attached figure