Graphing Quadratics from Intercept Form

Rectangle

Circle

Parabola

Triangle

y-intercept

x-intercepts

Vertex position

Direction of the parabola opening

Undefined

0

1

-1

The coefficient 'a' is positive

The coefficient 'a' is negative

The x-intercepts are positive

The vertex is at the highest point

(1,0) and (-3,0)

(0,1) and (0,-3)

(1,1) and (-3,-3)

(1,-3) and (0,0)

By finding the maximum y-value

By subtracting the smallest intercept from the largest

By averaging the x-intercepts

By multiplying the intercepts

The highest point on the graph

The y-intercept

The lowest point on the graph

Any point on the x-axis

At the y-intercept

At the highest x-value

Halfway between the x-intercepts

At the vertex

x^2 + y^2 = r^2

y = mx + b

a(x-p)(x-q) = 0

ax^2 + bx + c = 0

Multiply the coefficients

Average the x-intercepts

Set y to zero and solve for x

Set x to zero and solve for y