TAMU MPE
what the quadratic formula - ✅✅--b ± √(b²-4ac)
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2a
can there be a neg number in a sqrt? - ✅✅-no
can there be a neg domain for log or ln function - ✅✅-no
whats a²-b² equal to - ✅✅-(a+b)(a-b)
Can there be a conjugate for a binomial - ✅✅-no
√3 * √2 = ? -✅✅-√3 * √2 ≡ √6
what are the four log rules - ✅✅-log(a) + log(b) = log(ab)
log(a) - log(b) = log(a/b)
2Log(c) = log(c)^2
Inverse Properties =log∨b(b)∧x = x
The Three HA Rules - ✅✅-Rule 1: TOP small/Bottom Big = ha is y= 0
Rule 2: Top power same as bottom power= divide the coeefficients, that is your HA
Rule 3: Top Bigger/bottom small = no HA
What is the domain of f(x)= ln(x) -✅✅-D = (0,∞)
What is the exponential growth formula - ✅✅-y = yo * e^kt
How do you vertically shift a quadratic function - ✅✅-add a constant to the end
how do you shrink a quadratic function - ✅✅-multiply something in fron tof the x^2
part. A whole number shrinks it, a fraction makes it bigger
How do you reflect the quad parent function along the x axis - ✅✅-multiply it by a
negative in front of the x^2 part
✅✅-(x-3)^2 shifts it 3 to the RIGHT
How do you shift a quad funtion horizontally -
What do you do when you have an answer with radicals - ✅✅-see if you can
rationlize
how do you find the x int - ✅✅-set y=0
what the quadratic formula - ✅✅--b ± √(b²-4ac)
--------------------------
2a
can there be a neg number in a sqrt? - ✅✅-no
can there be a neg domain for log or ln function - ✅✅-no
whats a²-b² equal to - ✅✅-(a+b)(a-b)
Can there be a conjugate for a binomial - ✅✅-no
√3 * √2 = ? -✅✅-√3 * √2 ≡ √6
what are the four log rules - ✅✅-log(a) + log(b) = log(ab)
log(a) - log(b) = log(a/b)
2Log(c) = log(c)^2
Inverse Properties =log∨b(b)∧x = x
The Three HA Rules - ✅✅-Rule 1: TOP small/Bottom Big = ha is y= 0
Rule 2: Top power same as bottom power= divide the coeefficients, that is your HA
Rule 3: Top Bigger/bottom small = no HA
What is the domain of f(x)= ln(x) -✅✅-D = (0,∞)
What is the exponential growth formula - ✅✅-y = yo * e^kt
How do you vertically shift a quadratic function - ✅✅-add a constant to the end
how do you shrink a quadratic function - ✅✅-multiply something in fron tof the x^2
part. A whole number shrinks it, a fraction makes it bigger
How do you reflect the quad parent function along the x axis - ✅✅-multiply it by a
negative in front of the x^2 part
✅✅-(x-3)^2 shifts it 3 to the RIGHT
How do you shift a quad funtion horizontally -
What do you do when you have an answer with radicals - ✅✅-see if you can
rationlize
how do you find the x int - ✅✅-set y=0