Quadratic Equations

x = 1

x = 2, x = 3

x = 5

x = 4

(x + 3)(x + 4)

(x + 2)(x + 5)

(x - 2)(x - 5)

(x + 1)(x + 10)

The graph is a straight line with a slope of 2.

The graph is a parabola opening upwards with vertex at (0, -4) and x-intercepts at (-2, 0) and (2, 0).

The graph has no x-intercepts and is a constant function.

The graph is a parabola opening downwards with vertex at (0, 4).

x = 3, x = -1

x = 1, x = -2.5

x = 2, x = -1.5

x = 0, x = -5

x = 0

x = 3, x = -3

x = -6

x = 6

(x - 2)(x - 6)

(x + 4)(x - 4)

(x - 8)(x + 2)

(x - 4)^2

x = -2

x = 2

x = 0, x = -4

x = 4

The graph is an upward-opening parabola with vertex at (2, -2).

The y-intercept is at (0, 6).

The x-intercepts are at (0, 0) and (4, 0).

The graph of the function is a downward-opening parabola with vertex at (2, 2), x-intercepts at (1, 0) and (3, 0), and a y-intercept at (0, -6).

x = -2

x = -4

x = 2

x = 0

2

1.5

-1

3.5