Standard Form Quadratics

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What do we call the highest or lowest point of a quadratic?

Back

Vertex

Front

Where is the axis of symmetry for the parabola y = 3x² + 5x - 8?

Back

x = -\frac{b}{2a} = -\frac{5}{2(3)} = -\frac{5}{6}

Front

Identify a, b, and c in the quadratic equation y = 3x² + 5x - 8.

Back

a = 3, b = 5, c = -8

Front

What is the axis of symmetry for the parabola y = -2x² - 4x + 1?

Back

x = -\frac{b}{2a} = -\frac{-4}{2(-2)} = -1

Front

What is the vertex of the parabola y = -2x² - 4x + 1?

Back

(-1, 3)

Front

What does the 'a' value in a quadratic function determine?

Back

The direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

How do you find the y-intercept of a quadratic function in standard form?

Back

Set x = 0 and solve for y.

Front

What is the formula to find the vertex of a parabola given in standard form?

Back

Vertex (h, k) where h = -\frac{b}{2a} and k = f(h).

Front

What is the significance of the 'c' value in the standard form of a quadratic function?

Back

It represents the y-intercept of the parabola.