Characteristics Quadratics

Given a quadratic equation in standard form,

y = ax² + bx + c,

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

If a quadratic equation has 2 solutions, they will be equal distance from the axis of symmetry.

• TRUE

• FALSE

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 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.

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

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

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

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.

If b²-4ac is positive, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution