Wall ShoutOuts

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

How do you find the roots of a quadratic equation?

Back

The roots can be found using the quadratic formula, factoring, or by completing the square.

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.

Front

What are the zeros of a function?

Back

The zeros are the values of x where the function intersects the x-axis, also known as x-intercepts.

Front

What does it mean for a graph to have two roots?

Back

It means the graph intersects the x-axis at two distinct points.

Front

How can you determine the number of roots a quadratic function has?

Back

By calculating the discriminant (b² - 4ac) of the quadratic equation; if it's positive, there are two roots; if zero, one root; if negative, no real roots.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of the function when x=0.

Front

How do you graph a quadratic function?

Back

Identify the vertex, axis of symmetry, and intercepts, then plot points and draw a smooth curve.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the difference between a linear and a quadratic function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.