Quadratic Functions HW #2

Front

What is the axis of symmetry?

Back

The dividing line for a parabola.

Front

What is the y-intercept for the equation: y = -8x² + 3x - 7?

Back

(0, -7)

Front

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Back

x = -3

Front

Is the vertex of the parabola a maximum or minimum point?

Back

max

Front

Find the axis of symmetry for f(x) = x² - 8x + 15.

Back

x = 4

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c, where a, b, and c are constants.

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).

Front

How do you find the vertex of a parabola given in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the significance of the y-intercept in a quadratic function?

Back

It is the point where the graph intersects the y-axis (when x = 0).

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.