unit 4 flashcard 4

Front

Convert to Factored Form: x² - 10x + 24

Back

(x - 6)(x - 4)

Front

Which function is equivalent to y = x² - 6x + 10?

Back

y = (x - 3)² + 1

Front

Identify the axis of symmetry for the parabola y = x² - 6x + 10.

Back

x = 3

Front

Is this table linear, quadratic, or exponential? (Example values: (1,2), (2,4), (3,6), (4,8))

Back

linear

Front

What is the equation for axis of symmetry for the parabola y = x² - 6x + 10?

Back

x = 3

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you find the vertex of a parabola given in standard form?

Back

Use the formula h = -b/(2a) to find x, then substitute to find y.

Front

What does the discriminant of a quadratic equation tell you?

Back

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

Front

What is the axis of symmetry for the quadratic function y = ax² + bx + c?

Back

x = -b/(2a)