Alg 1- Lesson 9.1

Alg 1- Lesson 9.1

​

Learning Goals

• I can identify quadratic functions and determine whether they have a minimum or maximum.

• I can graph a quadratic function and give its domain and range.

Vocab:

Example 1

Tell whether the function is quadratic. Explain.

Tell whether the function is quadratic. Explain.

Multiple Choice

What would be an example of a quadratic equation?

• x+5

• x³+2x²+5x-2

• x²+3x-10

Example 2: Sketch a graph of the quadratic function.

^{Example 3: Tell whether the graph of each quadratic function opens upward or downward.  Explain.}

Multiple Choice

In the function f(x)=-5(x+3)²-8, the parabola opens:

• upward

• downward

Multiple Choice

In the function f(x)=2(x+5)²-8, the parabola opens

• upward

• downward

Example 4A

Identify the vertex of each parabola. Then give the minimum or maximum value of the function.

Vertex:

Min or Max?

Example 4B

Identify the vertex of each parabola. Then give the minimum or maximum value of the function.

Vertex:

Min or Max?

Multiple Choice

is the lowest or highest point of the parabola

• vertex

• axis

• equation

• symmetry

Multiple Choice

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both

Example 5

Find the domain & range.

Domain:

Range:

Example 5

Find the domain & range.

Domain:

Range: