How Many Solutions
Exponentials
Vocabulary
Quadratics
More Quadratics
100
How many solutions does the function have?
(2x+1)(x-2)
2 solutions
100
Is this function reflected?
y= -6^x-2
Yes, because "a" is negative
100
Given the quadratic, determine if it is
a) stretched/shrunk
b) left or right shift
c) up or down shift
1/3(x-4)^2-9
a) shrunk (a = 1/3 -- < 1)
b) right 4 units (h=4)
c) down 9 units (c=-9)
100
What are the solutions?
2x^2-3x+6 = 0
{No Solutions}
100
What are the factors?
x-3, x+6
200
How many solutions:
g(x)=x^2-6x+10
none
200
What is the y-intercept shown?
y=(1/4)^x-3
(0,-2)
200
Given the quadratic, what is the vertex
1/3(x-4)^2-9
(4,-9)
200
What are the solutions
-6x^2-4x+3 = 0
{(-2-sqrt22)/6, (-2+sqrt22)/6}
200
Given the quadratic,
3x^2+26x-9
what are the roots that would represent the quadratic
{-9,1/3}
300
How many solutions
(x-3)^2
one solution
300
what is the range for the function
y=(1/4)^x-3
y>-3
300
Given the quadratic, determine the Domain and Range
x^2+15x-7 =0
Domain: All Real Numbers
Range:
y>=-63.25
300
If Sara is playing basketball and throws the ball represented by the equation
h(t)=-0.6t^2 + 4t
A) Determine the height of the ball thrown (in feet). (Include units)
B) when (in seconds) does the ball hit the ground. (Round to the nearest 10ths and include units)
A) 10.4 feet
B) 8.3 seconds
300
Given the graph, what are the solutions?
{3/2,4}
400
how many solutions?
y=7x^2-12x+5.5
no solutions
400
What is the asymptote of the equation
y=(1/4)^x-3
y=-3
400
Given the quadratic, what are the factors?
(x-1) and (x-8)
400
What is the zeros to the given quadratic.
2x^{2}+3x=7-7x
{(-5+sqrt39)/2,(-5+sqrt39)/2}
400
Using the Quadratic Formula determine the zeros to
56x^2+9x-2
{1/8, -2/7}
500
What is the 3 another words for an x-intercept?
roots, zeros, solutions
500
Does the equation represent Decay or growth?
y=(1/4)^x-3
Decay
500
Does this equation have a minimum or maximum?
-(x-8)^2-5
Maximum.
500
what is the zeros to the given quadratic?
2x^2+7x-30=0
{-6,5/2}
500
Using the quadratic formula determine the zeros:
f(x)=x^2-3x-2
{(3+sqrt17)/2, 3-sqrt17)/2}