Quadratic Functions 1

Quadratic Functions

Ph-USA Guru

Multiple Choice

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum
• opens up with a minimum
• opens down with a maximum
• opens down with a minimum 

Multiple Choice

A parabola is upside-down when a is:

• negative
• positive
• 0
• infinite

Multiple Choice

Does the equation open up or down? 
Y = -3x² +7x - 2

• up
• down
• both 
• neither

Multiple Choice

What is the vertex?

• (5,2)
• (2,5)
• (-2,5)
• (-5,2)

Multiple Choice

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

• maximum
• minimum
• neither
• both

Multiple Choice

Identify c of the following quadratic function:
y = x ² + 16x + 64

• 2
• 1
• 16
• 64

Multiple Choice

Identify b of the following quadratic function:
y = x ² + 16x + 64

• 2
• 1
• 16
• 64

Multiple Choice

Identify a of the following quadratic function:
y = x ² + 16x + 64

• 2
• 1
• 16
• 64

Multiple Choice

The standard form of a quadratic equation is

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Multiple Select

Which of the following is NOT a quadratic function

• f(x) = -3x²

• f(x) = -5x - 3x²

• f(x) = 3x - 4x² + 5

• f(x) = 3x + 5

Multiple Choice

f(x) = 3x² - 4 is a quadratic function

• true

• false

At the end of the lesson, students will be able to:

• Identify whether the quadratic function has a maximum or minimum value.

• Find its vertex, line of symmetry, and y-intercept on Desmos Calculator.

Example 1: Sketch the graph of

 $f\left(x\right)=2x^2-12x+23$  then find its vertex.

(You may use Desmos Graphing Calculator).

Multiple Choice

Does

y = -4x²

have a maximum or minimum value?

• maximum

• minimum

Multiple Choice

Determine if the function graphed has a maximum or a minimum value and identify that value.

• maximum at -1

• minimum at -1

• maximum at 4

• minimum at 4

Quiz Time

• Use Desmos to graph.

• Watch the video on how to graph, find the vertex and how to insert the image on google docs.