What is the graph of a quadratic function?

The graph of a quadratic function is a parabola.

What is the vertex of a quadratic function?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

How do you find the slope of a linear function?

The slope of a linear function can be found using the formula $$m = \frac{{y_2 - y_1}}{{x_2 - x_1}}$$ .

What is the y-intercept of a linear function?

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of $$b$$ in the equation $$y = mx + b$$ .

What are the roots of a quadratic function?

The roots of a quadratic function are the values of $$x$$ for which $$y = 0$$ , found using the quadratic formula $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

What is the discriminant of a quadratic function?

The discriminant is the expression $$b^2 - 4ac$$ that determines the nature of the roots of the quadratic equation.

What is the difference between linear and quadratic functions?

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Provide an example of a linear function.

An example of a linear function is $$y = 2x + 3$$ .

Provide an example of a quadratic function.

An example of a quadratic function is $$y = x^2 - 4x + 4$$ .

Linear vs Quadratic Functions

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Mathematics

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University

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Hard

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CCSS

8.F.B.4, HSA-REI.B.4B, HSF-IF.C.7A

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