Unit 7 Honors Algebra I - Graphing Quadratics Review

If the quadratic parent function, f(x)=x², becomes g(x)= -3x², what transformation(s) ocurred?

• shift left 3 units

• reflect across x-axis and vertical stretch

• shift down 3 units and vertical compression

• vertical compression

Given these answer choices, which one shows that the parent function has shifted down 3 units?

• A

• B

• C

• D

Which equation matches the graph shown here?

• y = 2(x - 4)² + 5

• y = -2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

If the blue graph shows f(x)=x², then the red graph must be...

• g(x) = x² - 5

• g(x) = (x - 5)²

• g(x) = x² + 5

• g(x) = (x + 5)²

The red line shown at x=3 is called the...

• vertex

• vertical line test

• solutions

• axis of symmetry

Which point is NOT on the graph of the quadratic parent function (y=x²)?

• (-7, 49)

• (-5, -25)

• (3, 9)

• (0, 0)

Tags

CCSS.HSF-IF.C.7A

Which equation has a vertex at (7, -6)?

• f(x) = -2(x - 7)² - 6

• f(x) = -7(x + 7)² + 6

• f(x) = 3(x - 7)² + 6

• f(x) = 0.5(x + 7)² - 6

What is the vertex of f(x) = x² +12x + 31?

Hint: Y= and TABLE on calculator might help...

• (-3, -4)

• (6, 6)

• (12, 31)

• (-6, -5)

Which graph shows a quadratic function with only one real root?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

What is the equation in vertex form for the graph shown?

^{(Check the scale of the graph carefully!)}

• y = (x + 1)² - 2

• y = (x + 2)² - 4

• y = (x - 1)² - 2

• y = (x - 2)² - 4