10.4 Graphing Quadratic Equations

Front

What is the domain of the quadratic function y = 3x² - 6x + 5?

Back

Domain: All Real Numbers

Front

What is the range of the quadratic function y = 3x² - 6x + 5?

Back

Range: y ≥ 2

Front

What is the y-intercept of the graph of the function y = x² - 2x - 3?

Back

(0, -3)

Front

What is the axis of symmetry for the equation y = -x² + 4x + 3?

Back

x = 2

Front

What is the vertex of the function f(x) = -x² - 4x + 12?

Back

(-2, 16)

Front

How do you find the vertex of a quadratic function 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 standard form of a quadratic equation?

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 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, found by evaluating f(0).

Front

How do you graph a quadratic function?

Back

1. Find the vertex. 2. Determine the axis of symmetry. 3. Find the y-intercept. 4. Plot points on either side of the vertex. 5. Draw the parabola.