Systems of Equations
What are three types of ways to solve a system of equations?
Graphing, Subsistution, Elimination
What is a type of transformation?
Answers may vary.
What is the y-intercept y=-3x2+6x-5
y=-5
x0
1
(x+5)2
x2+10x+25
If x=2 and 3x+y=5, what is the value of y?
y = -1
What is changed/added where with a transformation to the right or the left?
Add or subtract number in the exponent.
What is the axis of symmetry y=-3x2+6x-5
x=1
x*x^3*x^5
x^9
(3n+2)(3n-2)
9n2-4
If y=2x+5 and y=-3x+10 , what is the y value?
What type of transformation is applied to f(x)=2x to obtain f(x)=2-x
Reflection about the y axis
Does the equation have a max or min y=-3x2+6x-5?
x^6/x^3
x^3
(x-5)2
When solving the system of equations, what expression could be substituted for r in the second equation?
r = 4 – t
3r + 2t = 15
4-t
If f(x)=2x, write a function that is a vertical stretch by a factor of 4?
f(x)=4 * 2x
What is the vertex y=-3x2+6x-5
(4k^2)/(8k^5)
1/(2k^3)
x2+7x+10
Solve the system of equations.
y=x+5
4x-2y=-16
(-3, 2)
Write a function that is a shift of f(x)=3x two units to the right?
3^(x-2)
What is the domain of y=-3x2+6x-5
(-oo, +oo)
(2x2)3(x3)3
8x15
(p-15)^2=121
x=26, x=4