finding solutions to quadratics

Front

What is the greatest number of solutions that a Quadratic Equation can have?

Back

2

Front

Find the zeros of the quadratic equation: x² - 4 = 0

Back

0 and 4

Tags

CCSS.HSA-REI.B.4B

Front

Solve the quadratic equation by factoring: a² + 10a + 21 = 0

Back

-3, -7

Tags

CCSS.HSA-REI.B.4B

Front

True or false: The solution, root, x-intercept, and zero of a problem are all the same thing.

Back

True

Front

What should you do first in solving this equation: x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Tags

CCSS.HSA-REI.B.4B

Front

What is a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

What is the vertex of a parabola?

Back

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

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

What does the discriminant tell you about a quadratic equation?

Back

The discriminant (b² - 4ac) indicates the number of real solutions: if > 0, two solutions; = 0, one solution; < 0, no real solutions.

Tags

CCSS.HSA-REI.B.4B