Parabolas Introduction

Front

What is a Parabola?

Back

The graph of a quadratic function.

Front

What is the green dot on the parabola called?

Back

Maximum.

Front

How many solutions does this quadratic have if the graph does not intersect the x-axis?

Back

No Real Solutions.

Front

Identify the vertex of the parabola represented by the equation y = (x + 1)^2 - 9.

Back

(-1, -9).

Front

Does the parabola represented by the equation y = -x^2 + 4 have a maximum or minimum?

Back

Maximum.

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c.

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 are the roots of a parabola?

Back

The x-values where the parabola intersects the x-axis.

Front

What is the axis of symmetry in a parabola?

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

How can you find the vertex of a parabola given in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.