Transformations
What is the parent function of this:
f(x)=|x+3|-2
absolute value
Solve using the GCF.
f(x)=5x^2-10x
x=0, x=2
Solve x^2+6x+8
x=-4
x=-2
Solve this system of equations.
3x+2y=9
2x+6y=6
What is the vertex of this equations:
f(x) = (x-4)^2+3
Describe the transformation happening here:
f(x)=(x+4)^2 - 7
left 4 , down 7
f(x)=x^-100
Factor this quadratic when a = 1
f(x)=x^2+x-6
(x+3)(x-2)
Solve this system of equations.
x+y=4
2x-3y=18
(6,-2)
What is the domain of all quadratic functions?
All real numbers
Change the equation to match the description.
f(x)=x
stretch by 1/2 and move it down 4
f(x)=1/2x - 4
f(x) =9x^2+16
not factorable
Solve using GCF.
f(x)=3x^2+33x+30
Solve this system of equations.
2x-3y=0
-4x+2y=-8
(3,2)
maximum
Describe the transformation in words:
f(x)= -(3x)^2 + 12
reflection, stretch 3, up 12
Factor this quadratic equation using the AC method.
f(x)=2x^2+11x+5
(x+5)(2x+1)
Solve by factoring when a = 1
f(x)= x^2-21x-72
Solve this system of equations.
3x+4y=12
-6x-8y=-24
infinitely many solutions
What is the AOS (axis of symmetry) of this equation?
f(x)= -(x+4)^2-13
x=-4
Change the equation to match the description:
f(x) = |x|
Move it left 5, down 10 and reflect over the x axis
f(x)= - |x+5| - 10
Solve this quadratic equation using quadratic formula.
f(x)=2x^2-3x-4
x=3+- sq.root 41 / 4
Solve this quadratic equation using AC method.
f(x)=2x^2+11x+12
x=-4, x=-3/2
Solve this system of equations.
5x-9y=13
-15x+27y=7
no solution
Tell me at least 4 points to plot for this quadratic equation graph.
f(x)= (x-3)^2+7
(3,7)(2,8)(4,8)(5,11)(1,11), could be more