Quadratic Functions Review

Quadratic Functions Review

By Keegan Kuhlman

• Vertex

• Roots

• Y-intercept​

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Label the parts on your screen

Parts of the Quadratic Function

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The Quadratic Formula

Each part of the quadratic formula gives us different information about the graph

x²+6x-7=0​

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Solve for the roots

Multiple Choice

Use the quadratic formula to find the solutions for

y = 2x² - 9x + 5

• -8.14 and 6.14

• -4.07 and 3.07

• 3.9 and 0.6

• No solutions

The part underneath the radical tells us how many x-intercepts a function has. If the discriminant is:

• Positive - 2 solutions

• Negative - No solutions

• Zero - 1 solution​

The Discriminant

Multiple Choice

How many solutions does the function have: $$-3x^2+12x-1=0$$  

• 1 solution

• 2 solutions

• No solution

• Infinite solutions

Find the coordinate of the vertex in the function:

-2x²+8x-2

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X- Value of the vertex: -b/2a

Multiple Choice

What is the vertex of the quadratic function:
y = x² - 6x + 11?

• (3,2)
• (-3,-2)
• (-3,2)
• (3,-2)

Transformations:

• a - how wide or narrow the graph is and if it reflects

• -h - x value of the vertex (always opposite)

• k - y value of the vertex​

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y=a(x-h)²+k

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Multiple Choice

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Multiple Choice

Describe the transformation of y = x² + 4

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Multiple Choice

Compare the function y = 0.3x² to the parent function y = x²

• Wider
• Narrower

Multiple Choice

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Multiple Choice

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Multiple Choice

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Multiple Choice

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2