Compare Quadratics

Which of the following describes the graph of f(x)= x² - 2x -15.

• The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)

• The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

Tags

CCSS.HSF-IF.C.7A

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

• f(x)= -(x-4)²+7

• f(x)= (x+4)²+7

• f(x)= -(x+4)²+7

• f(x)= (x-4)²+7

How does the graph of g(x)=3x² compare to the quadratic parent function f(x)=x² ?

• The graph of g(x) is wider than the graph of f(x).

• The graph of g(x) is narrower than the graph of f(x).

• The graph of g(x) is translated up 3 units above f(x).

• The graph of g(x) is translated down 3 units below f(x).

What is the range for the function below? 

• y ≤ 4

• y ≥ 4

• All real numbers

• -3 ≤ y ≤ 1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Compare the graph of g(x) = 4x² + 1 to the graph of f(x) = x². Choose all that apply. (Hint: Use Quadratic Dilation Blue Notes)

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (Shift) up

• Vertical translation (Shift) down

• Reflection

• F

• G

• H

• J

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 

Tags

CCSS.HSF-IF.C.7A

• F

• G

• H

• J

The equation f(x)= - (x+7)² +3 represents f(x), and the graph represents g(x). Select all of the true statements about the two functions

• The line of symmetry of g(x) is x=1

• The maximum of g(x) is less than the maximum of f(x)

• The value of x when f(x) is at its maximum is less than the value of x when g(x) is at its maximum

• g(x) has a vertex value that is a minimum

• f(x)'s graph is a parabola opening down