Circle whether each representation below describes a linear or quadratic function, or neither, and fill in any x-intercepts.
If the function is quadratic, fill in all the information that you can easily read from the form, without any calculation!
1 f(x) = 3x2 + 22 Linear Quadratic Neither Root(s)/x-Intercept(s) - write "none", one, or both x-coords If it’s Quadratic… Form: Factored, Vertex, Standard Parabola opens: up/down axis of symmetry (x=…) Vertex (x, y)] |
2 g(x) = 2(x − 11)(x − 243) Linear Quadratic Neither Root(s)/x-Intercept(s) - write "none", one, or both x-coords If it’s Quadratic… Form: Factored, Vertex, Standard Parabola opens: up/down axis of symmetry (x=…) Vertex (x, y)] |
3 h(y) = 100 − 4y Linear Quadratic Neither Root(s)/x-Intercept(s) - write "none", one, or both x-coords If it’s Quadratic… Form: Factored, Vertex, Standard Parabola opens: up/down axis of symmetry (x=…) Vertex (x, y)] |
4 $$\displaystyle z(x) = \frac{3}{5}x + 7$$ Linear Quadratic Neither Root(s)/x-Intercept(s) - write "none", one, or both x-coords If it’s Quadratic… Form: Factored, Vertex, Standard Parabola opens: up/down axis of symmetry (x=…) Vertex (x, y)] |
5
Linear Quadratic Neither Root(s)/x-Intercept(s) - write "none", one, or both x-coords If it’s Quadratic… Form: Factored, Vertex, Standard Parabola opens: up/down axis of symmetry (x=…) Vertex (x, y)] |
6
Linear Quadratic Neither Root(s)/x-Intercept(s) - write "none", one, or both x-coords If it’s Quadratic… Form: Factored, Vertex, Standard Parabola opens: up/down axis of symmetry (x=…) Vertex (x, y)] |
7 r(s) = 42(s − 10)2 − 3 Linear Quadratic Neither Root(s)/x-Intercept(s) - write "none", one, or both x-coords If it’s Quadratic… Form: Factored, Vertex, Standard Parabola opens: up/down axis of symmetry (x=…) Vertex (x, y)] |
8
Linear Quadratic Neither Root(s)/x-Intercept(s) - write "none", one, or both x-coords If it’s Quadratic… Form: Factored, Vertex, Standard Parabola opens: up/down axis of symmetry (x=…) Vertex (x, y)] |
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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