Vertex Form
If a = -2 h = -3 k = -4 How do you write
the equation in vertex form
y = -2 ( x + 3 )^2 - 4
What is the AOS for the equation y = -x^2 - 4x ?
x = -2
The range of y = ( x + 1 )2 is..........
y is greater than or equal to 0
What is the value of "c" that completes the square for x2 - 10 x
c = 25
List the transformations for y = -3 ( x +1 )^2
reflection over x axis
VS by a factor of 3
1 unit left
Vertex ( 2,6 ) A ( 0,1 ) B ( x, 1 )
What is the x coordinate of B?
4
How do you convert y = -2x^2 - 4x +3 to vertex form?
y = -2 ( x + 1 )^2 + 5
What is the y intercept for the function
y = 3x^2 - x -11?
( 0 -11 )
The range of y = -(x + 3 )2 +3 is...........
y is less than or equal to 3
What is the value of "c" that completes the square for x2 + 13x
c = 42.25
List transformations for -1/2 ( x - 5 )^2 -1
reflection over x axis
VC by a factor of 1/2
5 units right
1 unit down
Vertex ( -5,2 ) A (-10,8 ) B ( x, 8 )
What is the x coordinate of B?
0
f(x) = - ( x + 2 )^2 - 3 g(x) = - ( x-6 ) ^2 -1
Which function has the greater maximum value?
g(x) = - ( x-6 ) ^2 -1
Which of the following is true with respect to the
functions f(x) = x^2 -5x +10 and g(x) = -3x^2 -3x +10 ?
A They have the same vertex
B They have the same range
C . They have the same y intercept
C . They have the same y intercept
The vertex of a parabola is ( -7, -8 ) and "a" is less than 0. What is the range?
y is less than or equal to -8
How do you use CTS to convert y = x2 - 12x +15 to
vertex form?
y-15 = x^2 - 12x
y - 15 +36 = x^2 -12x +36
y +21 = ( x-6 )^2
y = ( x-6 )^2 - 21
What is the equation of the parent function moved right 6 units, translated up 3 units and vertically
compressed by 0.91?
y = o.91( x - 6 )^2 +3
Vertex ( 0,6 ) A (-3,10 ) B ( x, 10 )
What is the x coordinate of B?
3
What is the maximum value of y = - ( x - 2 )^2 -7?
At what value of x does it occur?
-7 at x = 2
Which of the following functions has the narrowest
graph? f(x) = 1/2 x^2 - 2x +10
g(x) = -1/10 x^2 +20x -10
f(x) = 1/2 x^2 - 2x +10
Which value, h or k, helps to determine the range?
k
How do you use CTS to convert y = x2 +7x -1 to
vertex form?
y +1 = x^2 + 7x
y + 1 + 49/4 = x^2 +7x +49/4
y + 53/4 = ( x + 7/2 )^2
y = ( x + 7/2 )^2 - 53/4
What is the equation that results from
y = 2(x-6)^2 +3 being shifted 9 units left and down 4 units?
y = 2( x + 3 )^2 -1
Vertex ( 2.5, 6 ) A ( 4,12 ) B ( x, 12 )
What is the x coordinate of B?
1
Given the vertex of ( -2,5 ) and a point ( 0,1),
what is the equation in vertex form?
y = - ( x +2 )^2 +5
How do you convert y = 3( x +2 )^2+ 6 to
standard form?
y = 3x^2 +12x +18
What is the range of y = x2 - 6x + 2 ?
y is greater than or equal to -7.
How do you write the perfect square for
y = x2 - 17x + 289/4
y = ( x - 17/2 )^2
What is the equation that results from
y = 2 ( x - 6 )^2 +3 and translating it 9 units left
and 4 units down?
y = 2 ( x +3 )^2 - 1
Vertex ( -6.5, 0 ) A ( -9, 2 ) B ( x, 2 )
What is the x coordinate of B?
-4