Quadratic Functions

The graph of a quadratic function is a __________

• line

• V

• parabola

• circle

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

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

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

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

• (-1, 3)

• (1, -3)

• (1, 3)

• (3, -1)

The roots or the solutions to the quadratic equation are also called the _________.

• y-intercepts

• x-intercepts

• vertex

• maximum

What steps transform the graph y =x² to y = x²+8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units