Characteristics of Quadratics from a Graph

Which quadratic function is represented by the graph?

• 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

How would you describe the translation from f(x)=x²  to  f(x)=x²+5 ?

• Horizontal translation: five units to the right

• Horizontal translation: five units to the left

• Vertical translation: five units up

• Vertical translation: five units down

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Which of the following graphs appropriately marks the axis of symmetry?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

The point in which a graph hits the x-axis is know as the _____

• Solution

• x-intercept

• Root

• All answers are correct

Tags

CCSS.HSF-IF.C.7A

Using the graph of the quadratic function, identify the domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Using the graph of the quadratic function, identify the range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

• The graph is congruent and is translated down.

• The graph is wider and opens downward.

• The graph is congruent and is translated up.

• The graph is narrower and opens downward.

How will the graph of f(x) = 3x² - 1 be affected if x² becomes (x - 2)^2?

• The vertex of the graph will move left 2 units.

• The vertex of the graph will move up 2 units.

• The vertex of the graph will move right 2 units.

• The vertex of the graph will move down 2 units.

Which quadratic is the narrowest graph?

• y = 3x²

• y = 4x²

• y = 2x²