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(-3-h)^2
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h determines x axis
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( 2 negatives= positive)
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If a is positive parabola is up or to the right
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Vertex is at (h,k)
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if a is negative opens left or down
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(x-3)2 -5 -->
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move to the right
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If parenthesis is addition, move to the left
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Make a table for eqaution
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pick points for x
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Solve
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graph answers
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should be in the form of f(x)=bx
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if b>1 its a exponential growth function
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if 0<b<1 its a exponential decay function
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if b>1 Domain = (- infinity, infinity)
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if b>1 Range = (0,infinity)
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if b>1The line y=0 is horizontal asympote
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if b>1 Function passes through (0,1)
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f(x) = ax2+bx+c is a parabola
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f(x)= x2+k
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f(x)= (x-h)2
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a>0 opens up
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is a vertical shift of f(x)=x^2
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h>0 shifted right vice versa
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a<0 opens down
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k>0 shifted up vice versa
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Change f(x) to y
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Switch x & y
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Solve for y
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Convert to exponential form based off of note
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Simplify
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Substitute the same terms with a letter
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Solve for the letter ex: (x=2)
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Replace the letter with what was in the equation
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Solve
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log 1=1
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Only solve multiple logs if they have the same base
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log bx =x
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log (xy) = log (x) + log (y)
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blog sub bx =x
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log 1=0
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log b=1
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replace f and g perform operation in middle
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Horizontal line test
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(g ∘ f )(x) = g(f(x))
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intersects more than once, not a function
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Look at > or < sign, determines what part of parabolas are the answer
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Find the inverse
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plot parabola from solved equation "y=..."
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Make a table of points
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Get bases same by putting a power or square root or fraction
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Cross out bases
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Exponents become base
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Solve equation
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Think of it as a Quadratic equation (< OR > as a = sign)
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Solve equation
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Plot answers
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Pick numbers from each A,B,C
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if equation is tue part of solution
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if false not part of solution
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find and write out solution set
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