Solving Quadratic Functions

Front

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

Back

True

Front

Solve: x^2 + 4x = 12

Back

x = -6 and 2

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x^2 - 49 = 0

Back

x = -7, x = 7

Tags

CCSS.HSA-REI.B.4B

Front

Convert x^2 - 9x + 20 to factored form and solve.

Back

(x-4)(x-5); x = 4, 5

Tags

CCSS.HSA-REI.B.4B

Front

Solve the equation: 4x^2 + 2x - 6 = 0

Back

x = 1 & -1.5

Tags

CCSS.HSA-REI.B.4B

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, found at 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 are the roots of a quadratic equation?

Back

The values of x that make the equation equal to zero, also known as the solutions or x-intercepts.

Tags

CCSS.HSA-REI.B.4B