Graphs of Quadratics

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of a parabola, depending on its orientation.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

What do we call the graph of a quadratic function?

Back

The graph of a quadratic function is called a parabola.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

To find the y-intercept, set x = 0 in the quadratic equation and solve for y.

Tags

CCSS.HSF-IF.C.7A

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = 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 'b' value in a quadratic function?

Back

The 'b' value affects the position of the vertex along the x-axis.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the y-coordinate of the vertex in a quadratic function?

Back

The y-coordinate can be found by substituting the x-coordinate of the vertex back into the function.

Front

What is the effect of changing the 'c' value in a quadratic function?

Back

Changing the 'c' value shifts the graph up or down along the y-axis.