Quadratic Equations

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.

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

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 b²-4ac is negative, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

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

If b²-4ac is 0, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

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