WorksheetsAlg. 2 Ch. 4 Test (Final) Factoring Quadratics/Transformations
Total questions: 25
Worksheet time: 5hrs 59mins
Solve for X:
(x-5)(x+6)=0
{5,5 }
{ -5,-5 }
{ -5,-6 }
{5,-6 }
(x + 2)(x - 3) = 0 ?
Solve the quadratic equation.
-2, 4
-8
±8
No real solution
Use the quadratic formula to solve 2x2 + 2x - 12 = 0.
-2, 3
2, 3
2, -3
-2, -3
Solve the quadratic equation.
-4, 2
-2, 4
-16
-4
Convert x2+6x+9=0 to factored form and identify the solution.
(x+3)(x+3)=0; x=-3
(x+4)(x+5)=0; x=-4, -5
(x-3)(x-3)=0; x=3
Not factorable
Find the zeros of this quadratic. (Finding the zeros means to find the solutions.)
b=4/5, b=3
b=4, b=-3
b=1/5, b=3
b=4/5, b=-3
x2 - 9x = 0
Factors AND find the solutions of x2 + 2x – 3 = 0
(x - 2)(x + 1); x=2, x=-1
(x + 1)(x - 3); x=-1, x=3
(x + 2)(x - 1); x=-2, x=1
(x - 1)(x + 3); x=1, x=-3
x2 + 6x - 13 = 3
Solve by factoring: x2 = 7x + 18
-7 and -18
9 and 2
9 and -2
2 and 7
x2 + 4x - 40 = -8
What is the standard form for a Quadratic function?
ax2+ bx = - c
x = -b ± √(b2-4ac) / 2a
ax2 + bx + c = 0
y = mx + b
Use the Quadratic Formula to solve the Quadratic Equation.
x2 + 4x - 9 = 0
-2 ± √13
-2 ± 2√7
-2 ± √7
-2 + √7
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a reflection across the x-axis
4 units up
4 units to the left
4 units to the right
Match the equation to its description.
Reflected over x axis and up 4
Reflected over x axis and down 4
Reflected over x axis and right 4
Reflected over x axis and left 4
Match the equation to its description.
Vertical Stretch by 2 and up 4
Vertical Shrink by 2 and up 4
Vertical Stretch by 2 and left 4
Vertical Shrink by 2 and left 4
How did we transform from y=x2?
y = -3x2
reflection over x-axis and vertical shift down 3
reflection over x-axis and vertical stretch by 3
vertical stretch by -3
reflection over x-axis and vertical shrink by -3
