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

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Graphing Quadratic Functions (Grade 10)

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Graphing Quadratic Functions

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 [math]f(x)[/math] 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 [math]f(x) = ax^2 + bx + c[/math], the sign (positive or negative) of which of the following values indicates whether the function opens upwards or downwards?
  1. [math]4ac[/math]
  2. [math]b^2[/math]
  3. [math]c[/math]
  4. [math]a[/math]
5. 
Graph the function [math]f(x) = 4x^2 - 4[/math]. Identify the maximum or minimum, as well as any intercepts.
Coordinate Plane - 10x10 - Blank



6. 
Graph the function [math]f(x) = -x^2 - 3x[/math].
Coordinate Plane - 10x10 - Blank



7. 
Graph [math]f(x) = x^2 + 2x - 8[/math]. Identify the maximum or minimum, as well as any intercepts.
Coordinate Plane - 10x10 - Blank



8. 
Graph the function [math]g(x) = x^2 + 2x + 5[/math]. Identify the maximum or minimum and all intercepts.
Coordinate Plane - 10x10 - Blank



9. 
Graph the function [math]f(x) = -2x^2 + 10x - 8[/math]. Identify the maximum or minimum, and all intercepts.
Coordinate Plane - 10x10 - Blank



10. 
Graph [math]f(x) = 2x^2 - 5x - 3[/math]. Identify the max or min, and any intercepts.
Coordinate Plane - 10x10 - Blank



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