LT 1 Comparing Functions
What's the slope of this function?
y=(-2/3)x+1
-2/3
Convert to radical form:
(3x^3)^(1/2)
sqrt(3x^3)
xsqrt(3x)
Solve:
24=8+2sqrt(x+2)
x=62
Simplify:
(4-i)-3(2+4i)
-2-13i
Factor:
50x^2-2
2(5x+1)(5x-1)
Graph and identify the vertex and x-intercepts:
y=3(x-4)^2-3
vertex: (4, -3)
x-intercepts: (5,0) and (2,0)
Solve:
y=x^2-9
x=+-3
State the parent function and the transformations:
y=3(x-1)2-2
Quadratic
Vertical stretch by 3
Shift right 1 and down 2
Convert to exponential form:
2sqrt(5x^3
2(5x^3)^(1/2)
Solve:
4+sqrt(-3x+10)=x
No solution
(3x^2-4x+6)(2x-4)-(5x+1)
6x^3-20x^2+23x-25
Factor:
35x^2-22x+7=4
(7x-3)(5x-1)
Identify the y-intercept, AOS, and vertex and then graph
y=3x^2-6x+1
y-intercept: (0,1)
AOS: x=1
vertex: (1, -2)
Solve:
y=(2x-1)(3x+5)
x=1/2, -5/3
Calculate the rate of change given the function for the interval [-1,2]
f(x)=2^(x-2)
7/24
Simplify:
sqrt((20x)/(3x^2)
(2sqrt(15x))/(3x)
Solve:
3(2x-4)^(2/3)+5=17
x=6
Simplify:
-2(4x-3)^2-(5x+7)
-32x^2+43x-25
Factor:
6x^2+11x-35
(3x-5)(2x+7)
Write the equation for the quadratic in FACTORED FORM:
x-intercepts: (-0.5, 0) and (2, 0)
y-intercept: (0,4)
y=-2(2x+1)(x-2)
Solve:
y=2sqrt(3x-1)+4x
x=-1/4,1
State the parent function and the transformations:
y=-(1/2)^(x+7)+1
Exponential
Reflection over x-axis
Shift left 7 and up 1
Simplify:
(-2x^4y^-3y^-1)/((-2x^3y^7)^-2(5x^-3)^0)
-8x^10y^10
solve:
-10(x-10)^(1/2)=60
no solution
Simplify:
-2(5-8i)^2-(8+2i)
70+158i
Factor:
60x^2-70x-240
10(2x+3)(3x-8)
Write the quadratic in STANDARD FORM:
vertex: (1.5, -2.5)
y-intercept: (0,2)
y=2x^2-6x+2
Solve:
3x^2=-1x+9x^2+10
(1+-isqrt(239))/12