Standard and Vertex Forms

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point of a quadratic function.

Front

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

Back

(0, -6)

Front

What is the domain of the function g(x) = -\frac{1}{4}(x-17)^2 + 61?

Back

D: (-\infty, \infty)

Front

What is the range of the function g(x) = -\frac{1}{4}(x-17)^2 + 61?

Back

R: (-\infty, 61]

Front

What do we call the point where a parabola changes direction?

Back

Vertex

Front

What is the y-intercept of the function x^2 - 3x + 9?

Back

(0, 9)

Front

What is the general shape of a quadratic function?

Back

A parabola.

Front

What does the 'a' in the standard form of a quadratic function determine?

Back

The direction and width of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror images, given by x = -\frac{b}{2a}.