Vertex Form and Quadratic Functions

ax^2 + c

a(x + h)^2 - k

ax^2 + bx + c

a(x - h)^2 + k

(-1, -2)

(-1, 2)

(1, 2)

(1, -2)

The point where the graph intersects the x-axis

The midpoint of the graph

The point where the graph intersects the y-axis

The highest or lowest point on the graph

It determines the horizontal shift of the graph

It determines the vertical shift of the graph

It determines the width of the graph

It determines the direction of the graph

The position of the vertex

The direction and width of the parabola

The horizontal shift of the parabola

The vertical shift of the parabola

x = h

y = -k

x = -h

y = k

x = -1

x = 1

y = -1

y = 1

It is a horizontal line that passes through the vertex

It is a vertical line that passes through the vertex

It is a line that does not pass through the vertex

It is a diagonal line that passes through the vertex

The highest point on the graph

All possible y-values

All possible x-values

The lowest point on the graph

x < 0

x = 0

x > 0

All real numbers