Quadratic Graph Practice - MathBitsNotebook(A1)

Quadratic Graph Practice
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Directions: Grab your paper and pencil. Write a solution to the following problems. Be sure to show your work to support your answer. Use your graphing calculator for checking only.

Consider the equation y = x² - x - 6. Answer the following questions, stating how you arrived at your answer.
a) Determine whether the parabola opens upward or downward.
b) Find the y-intercept.
c) Find the x-intercepts, if any.
d) Find the equation of the axis of symmetry.
e) Sketch the graph.

Answer

Given a quadratic function, which of the following choices explains the meaning of the zeros graphically.

Choose:

	When factored, f (x) = (x - p)(x - q) where p and q correspond to the y-intercepts.
	When factored, f (x) = (x - p)(x - q) where p and q correspond to the x-intercepts.
	When factored, f (x) = (x - p)(x - q) where p and q correspond to the turning points of the graph.
	When factored, f (x) = (x - p)(x - q) where p and q correspond to the axis of symmetry.

3.	Which of the following equations could describe the function seen in the graph at the right? (Check all that apply!)
	y = (x + 2)(x - 5) y = -2x²+ 4x - 1 y = (x - 6)(x - 10) y = (x + 5)²+ 4 y = (x - 8)² - 6 y = (15 - x)(10 - x) y = (-x + 3)(x - 5)

Shown below is the equation for function f (x), and the graph of parabolic function g (x). Which function has the larger maximum?

f (x) = -(x - 4)² + 5

What is the equation of the axis of symmetry for this parabola?

Choose:

	x = 2
	y = 4
	x = -2
	y = -2

Which of the following statements is NOT true for the parabola seen in the graph?

Choose:

	The axis of symmetry is x = 1.
	The vertex is (1,-3).
	The "a" coefficient is positive.
	The parabola has two positive roots.

What is the equation of the axis of symmetry of the graph:
y = 3x² + 6x - 1

Which equation could be the equation of the graphed parabola?

Choose:

	y = -x² - 4x - 5
	y = -x² + 4x - 5
	y = x² - 4x - 5
	y = x² + 4x - 5

What are the roots of the graphed parabola, assuming the roots to be integers?

Choose:

	x = ± 2
	x = ± 4
	x = 2; x = 2
	x = 4; x = 4

10.

What is the vertex, or turning point, of the parabola y = 4x² - 6x - 1?

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Topical Outline | Algebra 1 Outline | MathBitsNotebook.com | MathBits' Teacher Resources
Terms of Use Contact Person: Donna Roberts