Solving quadratics

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 and x = -6.

Tags

CCSS.HSA-REI.B.4B

Front

What is another word for zeros in a quadratic equation?

Back

Roots.

Tags

CCSS.HSF-IF.C.7D

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5.

Tags

CCSS.HSA-REI.B.4B

Front

What are the solutions to the equation x² = 16?

Back

± 4.

Tags

CCSS.8.EE.A.2

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0, where a, b, and c are constants.

Front

What does the discriminant (b² - 4ac) tell you about a quadratic equation?

Back

It indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Tags

CCSS.HSA-REI.B.4B

Front

How do you find the vertex of a quadratic function in standard form?

Back

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

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror images, given by x = -b/(2a).

Front

What is the vertex form of a quadratic equation?

Back

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