Mastering Quadratic Equations

x = 2, x = 3

x = 5

x = 4

x = 1

The vertex of the graph is at (0, 0) with no x-intercepts.

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

The graph of f(x) = x^2 - 4 is a straight line with a slope of 2.

The graph opens downwards and has a vertex at (0, 4).

(-1, 2)

(0, 3)

(-3, -4)

(-2, -5)

(x + 2)(x + 5)

(x + 1)(x + 10)

(x + 3)(x + 4)

(x - 2)(x - 5)

x = -1, 5

x = 1, 3

x = 0, 4

x = 2, 2

x = 4

x = 0

x = 3

x = 2

The vertex of the parabola is at (0, 1) with no x-intercepts.

The graph is an upward-opening parabola with vertex at (1, 1).

The graph of the function is a downward-opening parabola with vertex at (1, 3), y-intercept at (0, 1), and x-intercepts at (2, 0) and (-0.5, 0).

The y-intercept is at (0, 4) and x-intercepts at (1, 0) and (3, 0).

(x - 9)(x + 1)

(x + 3)(x + 3)

(x - 6)(x + 6)

(x - 3)(x + 3)

-1

0

1/2

-1/2

-3/2

(1, 0)

(1, 1)

(2, 1)

(0, 1)