Quadratics
What is the vertex form of a quadratic equation?
y=a(x-h)2+k
Solve for x:
x2=16
x=4, -4
What is the solution for g(x)=3x+1 and h(x)=-2x+6
(1, 4)
What is the range of a rational function with a horizontal asymptote at y=2
Range (- ∞ , 2)(2, ∞ )
What is the formula for range?
max-min
Write the equation of a quadratic with a vertex of (3, 5) that opens down.
y=-(x-3)2+5
Solve for x:
(x-7)2=81
x= 16, -2
No solution
What is the domain of a rational function with a vertical asymptote at x=-1
Domain: (- ∞ , -1)(-1 ,∞ )
Given the 5 number summary, min=4, Q1=12, med=16, Q3=19, max=22. What percent of the data is greater than 19?
25%
What are the roots of y=(x-3)2-9
Given g(x)=(x-12)2-17. When g(x)=-1, what are the x-values?
x=16, 8
What are the x-values of the solution:
f(x)=-2x-1, g(x)=x2
x=-1
What is the domain of a quadratic with equation y=x2
Domain: (- ∞ , ∞ )
Given the 5 number summary:
min=2, Q1=7, med=12, Q3=15, max=20
What is the IQR?
8
What are the roots of y=x2-6x+5
(5, 0) , (1, 0)
t(x)=(x+7)2-36. When t(x)=64, what are the 2 x-values?
x=3, -17
Solve the system algebraically:
g(x)=2x2-3x+5
h(x)=x2+2x-1
(3, 14)
(2, 7)
What is the range of a quadratic with the equation y=-(x-2)2+17
Range: (- ∞ , 17]
Given the 5 number summary, min=4, Q1=12, med=16, Q3=19, max=22. What percent of the data is at most 19?
75%
What is the vertex of a quadratic with a=1 and roots at (4, 0) and (8, 0)?
(6, -4)
h(x)=-(x-1)2+9
When h(x)=-27, what are the x-values?
x=7, -5
Solve algebraically:
h(x)=-2x2+8x-2
g(x)=x2-4x+7
(3, 4)
(1, 4)
What is the domain of a circle with the equation (x-2)2+(y-4)2=9
Domain: [-1, 5]
6