Factoring
Find the solution of:
(x-7)(x+4)=0
x= 7
x= -4
What are the transformations of:
g(x)=x2 + 5
Vertical translation 5 units upward.
Solve the equation: x2+9x+18=0
x=-3
x=-6
What is the axis of symmetry for the function:
y= 3x2+6x-12
x = -1.
What is the vertex of the function y=x2?
(0,0)
Find the solution of:
(x-3)(2x-16)=0
x= 3
x = 8
What are the transformations of:
g(x)=(x-9)2
Horizontal translation 9 units to the right.
Solve the equation:
x2-3x+2=0
x=2
x=1
What is the axis of symmetry for the function:
y= -5x2+10x-1
x = 1
What is the vertex of the function y = 2(x-6)2+6?
(6,6)
Find the solution of :
-2x(x+5)-6(x+5)=0
x=-5
x= -3
What are the transformations of:
g(x)=(x+9)2 - 6
Horizontal translation 9 units to the left.
Vertical translation 6 units downward.
Solve the equation:
x2+15x-16=0
x=1
x=-16
What is the vertex for the function:
y= -5x2+10x+1
(1,6)
What is the minimum of the function y=x2-10?
-10
x(-7x-21)=0
x=0
x=-3
What are the transformations of:
g(x)=4(x+1)2 +1
Vertical Stretch by a factor of 4
horizontal translation 1 units to the left
Vertical translation 1 units upward.
Solve the equation:
x2-48x=100
x=50
x=-2
Rewrite the function y=3(x-1)2+4 in the standard form y=ax2+bx+c
y=3x2-6x+7
What is the axis of symmetry of y= (x+7)2+5
x = -7
-x(x-10)+7x-70=0
x=10
x=7
What are the transformations of:
g(x)=0.3(x+1)2 - 7
Vertical compression by a factor of 0.3
Horizontal translation by 1 unit to the left
Vertical translation by 7 units downward.
Given the rectangular desk of an area x2+40x+400. find the dimensions of the desk in terms of x.
x+20
x+20
Rewrite the function y=-2(x+5)2 -3 in the standard form y=ax2+bx+c.
y= -2x2-20x-53.
What is the vertex, maximum and axis of symmetry of
g(x)= -8(x+4)2-2
Vertex (-4,-2)
Axis is x = -4
maximum is -2.