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CHAPTER 4
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Standard Form:
How can you find the vertex?
y = ax2 + bx + c
1) -b/2a
2) Use Calculate KeyMin or Max
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Example: Find the vertex of y = 2x2 - 8x + 3
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Vertex Form
y = a(x - h)2 + k
Vertex: (h, k)
Example:What is the vertex of y = 3(x + 2)2 - 5
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Factoring
Factor the following problems:
a) x2 + 4x - 12
b) x2 - 49
c) 2x2 - 5x - 3
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Solving equations by using square roots
• Find the solutions of
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Imaginary Numbers
Standard Form of a complex number is
a + bi
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Write the complex number in standard form
(7 + 2i) - (3 - 5i)
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Find the quotient and write in standard form
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Completing the square
• Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.
y = x2 + 14x + c
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Write the quadratic function in vertex form by completing the
square
y = x2 + 10x - 5
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Write the quadratic function in vertex form by completing the
square y = 3x2 -6x - 20
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Quadratic Formula
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Discriminant
b2 - 4ac
Use the discriminant to determine the number and type of solutions of an equation:
Positive: __________________
Zero: __________________
Negative: ___________________
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Graphing Inequalities
Solid Vs Dashed Graph