Section 1
What are the Zeros of the Equation:
F(x)=4x²-36
(0,-3) & (0,3)
Graph and find the Zeros and Vertex:
y= 1/2(x+4)2-2
Zeros: (-6,0) & (-2,0)
Vertex: (-4,-2)
Is this equation Linear,Quadratic or Exponential
y=-6x+2
Linear
Describe the Transformation from f to g:
f(x)=x2 ; g(x)=f(x)-3
Translation of down 3
What is the Vertex of the Equation:
y=3(x+4)²-7
(-4,-7)
Graph and find the Zeros and Vertex:
f(x)=-(x+1)(x-5)
Zeros:(-1,0) & (5,0)
Vertex:(2,9)
Is this equation Linear,quadratic,Exponential
3(2)^x+3
Exponential
Describe the Transformation from f to g:
f(x)=x2 ; g(x)=f(x+10)+20
Translation of left 10 and up 20
What is the AOS of the Equation:
y= 2x²-24x+3
x=6
Graph and find the Zeros and Vertex:
f(x)=2x2-8
Zeros: (-1,0) & (4,0)
Vertex: (1.5,12.5)
Is this equation Linear,Quadratic,Exponential
y=2(x+1)2-3
Quadratic
Describe the Transformation from f to g:
f(x)=x2 ; g(x)=f(x+5)-16
Translation of left 5 and down 16
The function shown represents the height h(in feet) of a firework t seconds after it is launched.The firework explodes at its highest point. At what height dose the firework explode?
h=-10t2+100t
H=250
What is the F.F of the quadratic equation
F(x)=a(x-p)(x-q)
Graph and find the Zeros and Vertex:
f(x)=(x-1)(x+2)
Zeros: (-2,0) & (1,0)
Vertex: (-1/2,-2.25)
what type of equation is it and why
(1,0),(2,5),(3,15)&(4,30)
Quadratic
Describe the Transformation from f to g:
f(x)=x2 ; g(x)=1/2(x+4)2-2
Translation of left 4 and down 2; shrink of (1/2)
A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. Find the maximum height attained by the ball.
h(t)=-16t2+40t+1.5
h(t)=26.5
What are the Zeros, Vertex, and A.O.S of the following Equation:
y=x2-4x-12
Zeros:(-2,0) (6,0)
A.O.S:2
V:(2,-16)
Describe the Transformation from f to g:
f(x)=x2 ; g(x)=3(x-1)2+6
Translation right 1 and up 6; stretch factor of 3
Determine the domain and range of the parabola given by the equation:
y = -2x2 + 8x – 3
D=All real numbers
y<=5