Parent functions/Equations
linear equation in slope intercept form
What is y = mx + b
These have 1, 0, or infinity many solutions.
What are systems linear equations?
I am the parent of this function.
What is x3? or What is y=a(x-h)3 + k?
This is the Quadratic
-4x2 + 8x + 32.
What is -4(x - 4) (x+2)?
This rational function 4/a + 5/3a = 3.
What is a LCD of 3a and a = 17/9?
Vertex form of a quadratic.
What is y = a(x-h)2 + k?
These are methods used to solve systems of linear equations.
What is elimination, substitution, or graphing?
This tells the parent function horizontally shifts left 3.
What is h = -3?
This is a Quadratic 9x2 -12x + 4.
What is (x - 2/3)2 , (3x - 2)2 , or (3x-2)(3x-2)?
This (5 - sq rt(2)) (5 + sq rt (2)).
What is multiply, FOIL, and 23?
A cubic function.
What is y = a(x-h)3 + k?
These have many solutions or no solutions.
What are systems of inequalities?
The a value is 1 tells this about the function.
What is cup up or end behavior of down up?
This Quadratic expression is 16x2 + 25.
What is (x -5i/4) (x +5i/4) or (4x -5i)(4x +5i)?
This is 201/2 * 201/2.
What is add exponents, the answer of 20?
The end behavior of these functions are always up up or down down.
What are even functions like x2 , x4 ,x6, ...?
What are even powered functions?
5y = 4x + 6
4x + 5y = 14 is a system with 1 solution.
What is (1,2), the solution?
This is the point of origin or also known as the vertex.
What is ( -3,4), ( h,k)?
This is the factored for of a quadratic (3h-7)(3h -6).
What is the quadratic equation 9h2 - 39h + 42?
a2/ (a +1) * (a2 -3a - 4) / (a2 - 4a)
What is multiply, factor numerator & denominator of 2nd term, answer of a?
These are used to indicate a rotation about the axis, a shift to the right or the left, and a shift up or down?
What are the variables a - for stretch or compress & or flip, h - horizontal shifts, k - vertical shifts?
-x - y = 2
x - 5y = -14 is a system.
What is the linear solution of ( -4, 2) ?
I am located here on the coordinate plane.
What is Quadrant 2, from origin 3 units left and 4 units up and extends into Quadrant 1, up up?
y = x(x + 2)(x - 5)
What is the cubic equation x3-3x2 -10x?
This rational expression (y -1) / (y2 + y -6) / (y-6) / (y + 3).
What is Factor denominator of 1st term, Keep Change Flip, (y-1) / (y-2)(y-6)?