Domain, Range, and Key Features of Quadratics

Front

What is another name for the x-intercepts of a quadratic?

Back

Zeros

Front

What are the coordinates of the vertex of the quadratic function y = x^2 + 2x + 3, and is it a maximum or minimum?

Back

(-1, 2); Minimum

Front

What is the range of the quadratic function y = x^2 - 4?

Back

y ≥ -4

Front

What is the range of the quadratic function y = -x^2 + 3?

Back

y ≤ 3

Front

What is the equation for the axis of symmetry of the quadratic function y = 2x^2 + 4x + 1?

Back

x = -1

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve for x.

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c determine?

Back

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

Front

What is the effect of changing the 'b' value in the quadratic equation y = ax^2 + bx + c?

Back

It affects the position of the vertex and the axis of symmetry.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots (real and distinct, real and equal, or complex).