Flashcard 4-1 Review

Front

How many zeros does a parabola have?

Back

A parabola can have 0, 1, or 2 zeros depending on its position relative to the x-axis.

Front

What are the zeros of a quadratic equation?

Back

The zeros of a quadratic equation are the x-values where the graph intersects the x-axis.

Front

Solve for x: 4x² + 7x - 17 = 3x² + 12x - 3

Back

x = 7, -2

Front

What is the U-shaped curve of a quadratic equation called?

Back

The U-shaped curve of a quadratic equation is called a parabola.

Front

Solve for x: x² = 18x - 81

Back

x = 9, 9

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What does it mean for a parabola to open upwards?

Back

A parabola opens upwards if the coefficient of x² is positive, indicating that the vertex is a minimum point.

Front

What does it mean for a parabola to open downwards?

Back

A parabola opens downwards if the coefficient of x² is negative, indicating that the vertex is a maximum point.

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, passing through the vertex.