Unit 4b

Front

What is the range of the quadratic function y = x² - 8?

Back

y > -8

Tags

CCSS.HSF-IF.C.7A

Front

What is the axis of symmetry for a parabola with a vertex at (-3, 2)?

Back

x = -3

Front

Factor the expression p² − 5p − 14.

Back

(p + 2)(p − 7)

Front

Factor the expression m² − 9m + 8.

Back

(m − 1)(m − 8)

Front

Find the product of (3x + 2)(2x + 4).

Back

6x² + 16x + 8

Tags

CCSS.HSA.APR.A.1

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does the 'a' value in the quadratic function y = ax² + bx + c determine?

Back

The direction and width of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What is the formula to find the vertex of a parabola given by y = ax² + bx + c?

Back

Vertex x-coordinate: x = -b/(2a) and y-coordinate: plug x back into the function.

Front

What is the discriminant in a quadratic equation and what does it indicate?

Back

The discriminant is b² - 4ac; it indicates the nature of the roots (real and distinct, real and equal, or complex).

Tags

CCSS.HSA-REI.B.4B

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.