Quadratics Transformations and Characteristics

The graph shown here has _________.

• one real solution

• two real solutions

• infinitely many solutions

• no real solutions

If the "bx" term is missing in a standard form quadratic, the equation for the axis of symmetry is x = 0.

(example: y = -2x² - 10)

• TRUE

• FALSE

If the zeros of a quadratic function are (1, 0) and (9, 0), what is the equation of the axis of symmetry?

• x = 1

• x = 9

• y = 0

• x = 5

• cannot be determined from this information

Tags

CCSS.HSF-IF.C.7A

If there is only one zero of a quadratic function located at (3.5, 0), what is the equation of the axis of symmetry?

• x = 7

• x = 3.5

• y = 0

• x = 0

• cannot be determined from this information

Tags

CCSS.HSF-IF.C.7A

Which graph will have the farthest vertical shift away from the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

What are the other names for the "solution(s)" to a quadratic equation?**Select all that apply!**

• root(s)

• x-intercept(s)

• zero(s)

• y-intercept(s)

Tags

CCSS.HSA-REI.B.4B

The axis of symmetry of this parabola is...

• y = 4

• y = -4

• x = 4

• x = -4

Tags

CCSS.HSF-IF.C.7A

What is the vertex of this quadratic equation?  
y = 2(x - 2)²  +  5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

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

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