Keyvfeature Quadratics

Given a quadratic equation in standard form,

y = ax² + bx + c,

how do you find the equation for the AXIS OF SYMMETRY?

Describe the transformations from f(x) = x² to g(x) = -0.3x² + 4

• vertical compression and shift up

• reflection over x-axis, vertical compression, and shift up

• reflection over x-axis, vertical stretch, and shift up

• vertical stretch and shift down

Which graph will be the most vertically stretched compared to the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

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

Based on this table of values, does the parabola open UPWARD or DOWNWARD?

• UPWARD

• DOWNWARD

• CANNOT BE DETERMINED

Tags

CCSS.HSF-IF.C.7A

If a quadratic equation has only 1 solution, it must pass through the origin (0, 0).

• TRUE

• FALSE

Tags

CCSS.HSF-IF.C.7A

If a quadratic equation in standard form has a negative c-value, the parabola opens downward.

[y = ax² + bx + c]

• TRUE, "c" controls the direction of the parabola.

• FALSE, "a" controls the direction of the parabola.

Tags

CCSS.HSF-IF.C.7A

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Tags

CCSS.HSA-REI.B.4B