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3.1-3.2 College Algebra

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3.1-3.2 College Algebra

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  • August 29, 2024
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  • 2024/2025
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3.1-3.2 College Algebra
f(x)=mx+b (m not=0) - ANS-Linear Function Form

f(x)=ax^2+bx+c (a not=0) - ANS-Quadratic function

Vertical line through the vertex, shown as h from (h,k) the vertex written as x=h - ANS-Axis of
symmetry

the maximum or minimum coordinate represented by (h,k) and can be solved for (if the function
is not in vertex form
(-b/2a , f(-b/2a)) - ANS-Vertex

f(x)=a(x-h)^2+k - ANS-Vertex Form

parabola opens up - ANS-a>0

parabola opens down - ANS-a<0

k - ANS-Maximum and value is represented by...

By completing the Square, other wise you can find the vertex by the other vertex equation (its
easier this way) - ANS-How do you get a quadratic function into vertex form?

b^2-4ac - ANS-What is the discriminate?

one x-intercept - ANS-b^2-4ac=0

two x-intercepts - ANS-b^2-4ac >0

no x-intercepts - ANS-b^2-4ac<0

- ANS-Quadratic formula

a linear model based on all observed data points. - ANS-regression line

up left/up right - ANS-Determine the polynomial behavior (even ) A^n postitive

down left/down right - ANS-Determine the polynomial behavior (even ) A^n Negitive

down left/up right - ANS-Determine the polynomial behavior (odd ) A^n postitive

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