##### Notes

This printable supports Common Core Mathematics Standard HSF-IF.C.7, HSF-IF.C.7a

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1.
When graphing a quadratic function there is always a y-intercept.
1. True
2. False
2.
When graphing a quadratic function, it does not extend to all values of x.
1. True
2. False
3.
If $f(x)$ is a quadratic function, which has two distinct x-intercepts when graphed, which of the following is true?
1. The x-value of the vertex is the average of the two x-intercepts.
2. The y-value of the vertex will be greater than the value of either x-intercept.
3. The vertex of the function will lie on the y-axis.
4. The x-intercepts have no special relation to the vertex.
4.
When graphing a quadratic function of the form $f(x) = ax^2 + bx + c$, the sign (positive or negative) of which of the following values indicates whether the function opens upwards or downwards?
1. $4ac$
2. $b^2$
3. $c$
4. $a$
5.
Graph the function $f(x) = 4x^2 - 4$. Identify the maximum or minimum, as well as any intercepts. 6.
Graph the function $f(x) = -x^2 - 3x$. 7.
Graph $f(x) = x^2 + 2x - 8$. Identify the maximum or minimum, as well as any intercepts. 8.
Graph the function $g(x) = x^2 + 2x + 5$. Identify the maximum or minimum and all intercepts. 9.
Graph the function $f(x) = -2x^2 + 10x - 8$. Identify the maximum or minimum, and all intercepts. 10.
Graph $f(x) = 2x^2 - 5x - 3$. Identify the max or min, and any intercepts.         You need to be a HelpTeaching.com member to access free printables.