Quadratic Functions: Key Features (Graphs)

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What shape do quadratic equations take when graphed?

Back

Parabola.

Tags

CCSS.HSF-IF.C.7A

Front

Define X-intercept in the context of quadratic functions.

Back

Where the parabola touches or intersects the x-axis.

Tags

CCSS.HSF-IF.C.7A

Front

What is the significance of the vertex in a quadratic function?

Back

It represents the maximum or minimum value of the function.

Front

What are the two types of parabolas?

Back

Opening upwards and opening downwards.

Tags

CCSS.HSF-IF.C.7A

Front

How can you find the vertex of a quadratic function 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 does the 'a' value in the quadratic equation ax^2 + bx + c indicate?

Back

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

Tags

CCSS.HSF-IF.C.7A

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the formula for the quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What are the roots of a quadratic function?

Back

The values of x where the graph intersects the x-axis, also known as x-intercepts.

Tags

CCSS.HSF-IF.C.7A