Standard Form Quadratics REVIEW

Front

What does the variable c represent in the quadratic equation y=ax^2+bx+c?

Back

y-intercept

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The axis of symmetry can be found using the formula x = -\frac{b}{2a}.

Front

What is the formula to find the vertex of a quadratic function?

Back

The vertex can be found using the formula (h, k) where h = -\frac{b}{2a} and k = f(h).

Front

What is the y-intercept of the function f(x) = -2x^2 + 4x - 6?

Back

(0, -6)

Front

Given the quadratic equation y=4x^2-8x+9, what is the axis of symmetry?

Back

x=1

Front

What is the vertex of the function f(x) = -x^2 - 4x + 12?

Back

(-2, 16)

Front

How do you determine the direction of a parabola from its equation?

Back

If a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c.

Front

How can you find the zeroes of a quadratic function?

Back

By factoring, using the quadratic formula, or completing the square.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.