Solving Quadratic Equation by Graphing*

Front

What is another word that describes the zeroes of a quadratic function?

Back

x-intercepts

Front

If each mark on the x-axis represents one second, when did the object reach its maximum height?

Back

2.5 seconds

Front

Based on the graph of f(x), what are the roots of the equation f(x)=0?

Back

-1 and 5

Front

What are the solutions of the quadratic equation represented by the graph?

Back

2 and 4

Front

What are the x-intercepts of the quadratic function?

Back

x= 0 and x= 4

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does the vertex of a parabola represent?

Back

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

Front

How can you find the x-intercepts of a quadratic function graphically?

Back

The x-intercepts are found where the graph crosses the x-axis (where y=0).

Front

What is the axis of symmetry in a quadratic function?

Back

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