Functions
What is the point-slope form for an equation of a line?
y-y1=m(x-x1)
What is the quadratic formula?
x=(-b±√b2-4ac)/2a
What is a polynomial with 3 terms called?
Trinomial
What is the simplified form of the square root of 50?
5√2
8 + 2 ⋅ (6 - 4)3 ÷ 4
12
What type of function is this?
f(x)=|x-5|+3
Absolute value
What is the point called where a parabola changes direction?
Vertex
What is this product?
(-4x+3)(2x-7)
-8x2+34x-21
What is the simplified form of the cube root of 72?
2 3√9
36 ÷ 6 + 4 ⋅ (3+2) - 52
1
If the line y=2x is shifted 5 units down, what is the new equation of the line?
y=2x-5
What is the vertex of this function?
y=(x-3)2+4
(3,4)
What is the factored form of 16x2-81?
(4x+9)(4x-9)
Simplify.
√18 + √8
5√2
4 + 3 ⋅ 23 - 10 ÷ 2
23
What is f(2)?
f(x)= x2+5, x<2
6x-15, x≥2
f(2)=-3
What is the vertex of this function?
y=x2+4x+7
(-2, 3)
What does x4+7x2+10 factor to?
(x2+5)(x2+2)
Simplify.
√32a5b9
4a2b4√2ab
(2 + 3)2 ÷ 5 + 23 - 7
6
What is the range of this function?
f(x)= |x-3|+5
Range: {y|y≥5}
A ball is thrown up in the air and can be modeled using the function h(t)=-16t2+32t+5, where h(t) is height in feet and t is time. What is the maximum height of the ball? (Hint: use the vertex formula, t=-b/2a)
21 feet
What is (x2+5x+6)/(x+2)?
x+3
What is the domain of the function?
f(x)=2√(x-5) +4
Domain: {x|x≥5}
15 - [2 (6 + 3) - 5] + 42
18