Analyze Quadratics

Graphing functions

Algebra 2 Summer Module 5 day 1

Multiple Choice

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Multiple Choice

Which of these equations shifts a radical equation left 3 times?

• $y=\sqrt{x}+3$

• $y=\sqrt{x}-3$

• $y=\sqrt{\left(x+3\right)}$

• $y=\sqrt{\left(x-3\right)}$

Multiple Choice

Which function matches the graph? The labeled point is (3,2)

• A

  f(x) = ∛(x + 3) + 2

• B

  f(x) = − ∛(x - 3) + 2

• C

  f(x) = ∛(x - 3) + 2

• D

  f(x) = ∛(x - 2) + 3

Multiple Choice

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

Multiple Choice

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Multiple Choice

A parabola is upside-down when a is:

• negative
• positive
• 0
• infinite

Multiple Choice

Which best describes the vertex of a parabola?

• Any point on the parabola.
• A point on the x-axis.
• The highest or lowest point of a parabola
• A point on the y-axis.

Multiple Choice

What is the vertex?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

Multiple Choice

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2
• maximum: 2
• minimum: 5
• maximum: 5

Multiple Choice

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Multiple Choice

What is the equation for axis of symmetry?

• y = 3

• x = 3

• x = 5

• x = 1

Multiple Choice

If the blue graph is f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Multiple Choice

y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Multiple Choice

What is a good tool to use when graphing functions?

• Graphics Calculator

• Desmos Graphics Calculator

• VA testing Calculator