7.2-Graphing Quadratics

Front

What are the X-INTERCEPTS (ZEROS) of a quadratic function?

Back

The X-INTERCEPTS (ZEROS) are the points where the graph of the quadratic function intersects the x-axis. They can be found by solving the equation f(x) = 0.

Front

How do you determine the QUADRATIC FUNCTION from a graph?

Back

To determine the QUADRATIC FUNCTION from a graph, identify the vertex and the direction of the parabola (upward or downward). Use the vertex form or standard form to write the equation.

Front

What is the formula for the AXIS of SYMMETRY (AOS) of a quadratic function?

Back

Front

What is the significance of the Y-INTERCEPT in a quadratic function?

Back

The Y-INTERCEPT is the point where the graph intersects the y-axis. It can be found by evaluating the function at x = 0.

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Back

Front

What does the vertex of a parabola represent in a quadratic function?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function, depending on the direction of the parabola.

Front

What is the standard form of a quadratic function?

Back

Front

How can you identify if a quadratic function opens upwards or downwards?

Back

A quadratic function opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.

Front

What is the relationship between the roots of a quadratic equation and its graph?

Back

The roots of a quadratic equation correspond to the X-INTERCEPTS of its graph. If the roots are real and distinct, the graph intersects the x-axis at two points.

Front

How do you convert a quadratic function from vertex form to standard form?

Back