Solving Quadratics Review

Front

What is another word for zeros?

Back

Roots

Tags

CCSS.HSF-IF.C.7C

Front

What is one of the solutions to the equation (2x - 1)² = 49?

Back

-3

Tags

CCSS.8.EE.A.2

Front

Back

Factors: (x - 2) and (x - 9); Solutions: x = 2, 9

Tags

CCSS.HSA-REI.B.4B

Front

Solve 4m² - 100 = 0

Back

m = 5, -5

Tags

CCSS.8.EE.A.2

Front

What are the zeros of the function if the solutions are x = 0 and x = 4?

Back

x = 0 and x = 4

Tags

CCSS.HSA.APR.B.3

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, found at the point (h, k) in the vertex form y = a(x - h)² + k.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images, given by the formula x = -b/(2a) for the standard form ax² + bx + c.

Front

How do you find the roots of a quadratic equation using the quadratic formula?

Back

The roots can be found using the formula x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What does the discriminant tell you about the roots of a quadratic equation?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if positive, two distinct real roots; if zero, one real root; if negative, no real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.