Algebra I, Quadratic Equation Review

Since this quadratic equation is in standard form, what should you do first when asked to graph it?

y = -2x² - 4x - 1

• Find the vertex

• Find the Axis of Symmetry (AOS)

• Make a table of values

• Find the point symmetric to the y-intercept

Tags

CCSS.HSF-IF.C.7A

Why is it important to write the Axis of Symmetry (AOS) as

x = -1?

• Because my teacher is picky.

• Because x = -1 is an equation of a line and the AOS is a line.

• Because that is the solution to this quadratic equation.

• Because it helps me remember what axis to graph the horizontal line on.

What would the graph of the Axis of Symmetry (AOS), x = -1, look like?

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Tags

CCSS.HSF-IF.C.7A

After you find the Axis of Symmetry (AOS), what is the second step you should do?

y = -2x² - 4x - 1

• Find the vertex

• Find the x - intercepts

• Find the point symmetric to the y - intercept

• Make a table of values

Tags

CCSS.HSF-IF.C.7A

How would you find the vertex?

y = -2x² - 4x - 1

• Plug in the value of the Axis of Symmetry (AOS) into the quadratic equation and solve for y.

• Plug in the value of the Axis of Symmetry (AOS) into the quadratic equation and solve for x.

• Remember that the y - intercept is found by plugging in zero for x and solving for y.

• Use a calculator to graph the equation and hit "menu", "6", "1" to find the x-intercepts

How do you find the y - intercept (select two of the following answer choices)?

y = -2x² - 4x - 1

• Plug it into your calculator and hit "menu", "6", "1" and highlight the intercepts

• Plug 0 in for the y value and solve for x

• Plug 0 in for the x values and solve for y

• Remember that the "c" value is the y - intercept and (0, c) is the y - intercept

• Remember that the "b" value is the y - intercept and (0, b) is the y - intercept

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept?

y = -2x² - 4x - 1

• (-1, 0) because y = -2(0)² - 4(0) - 1

• (-1, 0) because 0 = -2x² - 4x - 1

• (0, -1) because y = -2(0)² - 4(0) - 1

• (0, -1) because 0 = -2x² - 4x - 1

Tags

CCSS.HSF-IF.C.7A

What does the graph of this quadratic look like?

y = -2x² - 4x - 1

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Tags

CCSS.HSF-IF.C.7A

Using the graph solve the equation

-x²-2x+3=-5.

• {-3,-1}

• {-2,0}

• {-4,2}

• {-1,4}

Use the graph of y=-x²+6x-5 to solve the equation -x²+6x-5=0

• (1,5)

• {3,4}

• {1,5}

• {2,4}