Understanding Quadratic Graphs

One, three, or four intercepts

Zero, two, or three intercepts

Zero, one, or two intercepts

One, two, or three intercepts

X = 3 and X = -2

X = 2 and X = -3

X = 1 and X = -1

X = 4 and X = -4

X = 3

X = 1/2

X = 0

X = -2

(x + 2)(x + 2)

(x + 1)(x + 1)

(x - 1)(x - 1)

(x - 2)(x - 2)

Three

Two

One

None

The parabola is horizontal

The equation has no real solutions

The parabola is vertical

The equation is linear

Y = 5

Y = 4

Y = -4

Y = 0

The parabola touches the X-axis at one point

The parabola crosses the X-axis at two points

The parabola is parallel to the X-axis

The parabola does not touch the X-axis

It has no X intercepts

It has three X intercepts

It has two X intercepts

It has one X intercept

The parabola opens upwards and crosses the X-axis

The parabola opens downwards and is below the X-axis

The parabola opens downwards and crosses the X-axis

The parabola opens upwards and is above the X-axis