4A.3 Function Notation and Graph Problems

4A.3 Function Notation and Graph Problems

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

Multiple Choice

What is the axis of symmetry for this graph?

• y=2
• x=2
• x=0
• y=0

Multiple Choice

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Multiple Choice

The line that goes through the vertex of a parabola is called the...

• Vertex
• Axis of Symmetry
• x-intercept
• y-intercept

Multiple Choice

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Multiple Choice

The equation for the axis of symmetry line is $$x=-\frac{b}{2a}$$  

• true

• false

Multiple Choice

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Multiple Choice

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1
• x=-6
• x=2
• x=-1

Multiple Choice

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Example 1

If what is the value of k(-5)?

• -5 is the input

• Replace all the x-values with -5

• Solve

• You can also type the equation into the calculator and use the table to find the y-value when x = -5​

Unit 4A Quadratic Functions

Fill in the Blanks

 If $f\left(x\right)=3x^2+10x$ , what is the value of $f\left(-2\right)$  ?

Fill in the Blanks

If $k\left(x\right)=-x^2-7x+10$  , what is the value of $k\left(8\right)$  ?

Fill in the Blanks

If $k\left(x\right)=-5\left(x-1\right)^2-8$  , what is the value of $k\left(-3\right)$  ?

Fill in the Blanks

If $f\left(x\right)=3\left(x-1\right)^2+10$  , what is the value of $f\left(-2\right)$  ?

Unit 4A: Quadratic Functions

Domain and Range

Multiple Choice

Which graph best represents a function with a range greater than or equal to -7 and less than 2?

• none of them

Multiple Choice

Which graph best represents a function with a range of all real numbers greater than or equal to 0?

Multiple Choice

Which graph best represents a function with a domain greater than or equal to -4 and less than or equal to 2?