4.1-4.3 flashcard

Front

Solve for h: (h - 2)² = 9

Back

h = 5, -1

Front

Factor and Solve: x² + 13x + 12 = 0

Back

x = -12, -1

Front

What is the vertex of the parabola represented by the equation y = (x - 1)² - 2?

Back

(1, -2)

Front

Does the graph of y = (x - 1)² - 2 have a maximum or minimum?

Back

Minimum

Front

Factor and solve: z² - 14z + 45 = 0

Back

z = 5, 9

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What is the axis of symmetry for the parabola y = 2x² + 4x + 1?

Back

x = -b/(2a) = -4/(2*2) = -1

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation ax² + bx + c = 0.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.