Quadratic Functions and Forms

Identify the form of the quadratic function:

f(x)=3(x+2)(x-1)

• Quadratic

• General

• Factored

• Vertex

The graph of a quadratic function is a __________

• line

• V

• parabola

• circle

What is the axis of symmetry in a function?

• The transformation of the graph

• The vertex

• A vertical line that passes through the vertex and divides the parabola in half

• y = h

Identify the vertex of f(x) = -2(x + 1)² + 3

• (-1, 3)

• (1, -3)

• (1, 3)

• (3, -1)

Find the equations of the parabola that is moved 3 units to the left and 5 units up.

• y = (x+3)² + 5

• y = (x+5)² + 3

• y = (x-3)² + 5

• y = (x+5)² - 3

Choose all the possible forms of a quadratic function.

• y = ax² + bx + c

• (x-h)² + (y-k)² = 1

• y = a(x-h)² + k

• y = mx + b

The __________ is the point where the minimum or maximum point of a parabola or absolute value graph occurs.

• y-intercept

• equation

• vertex

• axis of symmetry

The maximum or minimum value of the parabola is the ______ - value of the vertex.

• y

• x

• b

• m

The parabola opens _____ if the x² is positive and has a __________ point.

• right, minimum

• left, maximum

• up, minimum

• down, maximum

A parabola will open _____ if x² is negative and it has a __________ point.

• right, minimum

• left, maximum

• up, minimum

• down, maximum