translations
In f(x)= .6 (- x +1 )2 - 5 x
what translation does the 5 cause?
down 5
In f(x) = ( x - 8)2 - 2
what is the vertex
(8,-2)
If a parabola has a vertex at (3,5) and passes through a point at (4,2), Find a third point.
The tird point is at (2,2)
In f(x) = x2 + 15x - 6
What is the y-intercept
(0, - 6)
For f(x)= - (x+3)(x+9) does the parabola open up or down (smiley or frowny)
opens down (frowny)
In the function f(x)= .6(-x+1)2 - 5
what translation does the 1 cause?
left 1
In f(x) = ( x - 8)2 - 2
what is the domain
All Real Numbers
Solve x2 - 4x - 45 = 0
x = -5 and x = 9
In f(x) = x2 + 15x - 6
Find the x value of the vertex
-7.5
In the f(x) = (x+2)(x-3)
find the zeros
-2 and 3
In f(x)= .6 (- x +1 )2 - 5
what translation does the .6 cause?
vertical compression
In f(x) = ( x - 8)2 - 2
does the function have a maximum/minimum and what is it?
minimum when y = -2
Solve x2 = - 8x +72
x = -13.4 and x = 5.4
In f(x) = x2 + 15x - 6
Find the y value of the vertex
-62.25
Factor 5x2 -19x +12
(5x-4)(x-3)
In f(x)= .6 (- x +1 )2 - 5
what translation does the - ( in front of x ) cause?
y-axis reflection
In f(x) = ( x - 8)2 - 2
what is the axis of symmetry equation
x = 8
Identify the interval when the graph of
f(x) = -x2 +x +20 is positive
x > -4 and x < 5
(-4,5)
Find the standard form equation for the parabola that passes through the points (1,5),(3,7)and (6,25).
hint: stat button
x2 - 3x + 7
Find the factored form equation for the parabola that passes through the points (3,0)(1,0)and (2,6)
f(x)= -6(x-3)(x-1)
the graph of the function f(x) = x2
is translated 4 units to the right and 2 units up.
Write the new function.
f(x) = ( x - 4)2 + 2
In f(x) = ( x - 8)2 - 2
what is the range
y >= -2 or [ -2, + infinity)
Identify the interval when the graph of
f(x) = -x2 +x +20 is negative
(- infinity, -4)(5,+infinity)
x<-4 and x >5
The equation f(x) = -6x2 + 6x + 5 models the path of a football. Find the maximum height of the ball.
y = 6.5
The equation f(x) = -6x2 + 6x + 5 models the path of a football. When will the ball hit the ground?
1.5 seconds