Functions & Graphs
Find f(18) if f(x)=x+19.
37
What happens to y=x2 when it becomes y=x2+2?
Shifts up 2.
Solve x2=16.
x=±4
What is i2?
-1
Find the y-intercept of f(x) = 2x+4.
(0,4)
Describe y = (x - 3)2.
Shifts right 3.
Solve x2-5x+6=0 by factoring.
x = 2,3
Simplify i6.
-1
Find the domain and range of f(x) = (x-3)2 + 2.
Domain: All real numbers; range y ≥ 2.
Find the vertex of y = (x + 2)2 - 4.
(-2, -4)
Solve x2-4x-1=0 using the quadratic formula.
x=2±√5
Simplify (4+3i) + (2-7i).
6-4i
Find the vertex of f(x) = -2x2 + 8x - 3.
(2,5)
Describe the transformation in y = -2(x - 1)2 + 3.
Reflect over the x-axis, stretched by 2 vertically, right 1, up 3.
Solve x2+6x+2=0 by completing the square.
x=-3±√7
Simplify (3+2i)(1-4i).
11-10i
For f(x) = x2 - 6x + 5, identify the intervals of increase and decrease.
Decreasing on (-∞, 3) and increasing on (3, ∞).
Write an equation for y= x2 reflected over the x-axis, shifted left 2, and down 5.
y = -(x + 2)2 - 5
Solve using the quadratic formula and round your answers to the nearest hundredth.
7x2-4x-9=0
x≈1.46 or x≈-0.88
Simplify (2-3i)2+(1+2i)(3-i).
-7i