What is a, h, and k in y=-1/2(x-7)2-2?
a=-1/2
h=7
k=-2
What is the vertex of y=(x+2)2-3?
The vertex is (-2,-3)
What is a, h, and k in the equation y=2(x+6)2-9?
a=2
h=-6
k=-9
What is the vertex of y=2(x-3)²+4?
The vertex is (3, 4)
What is the vertex of y=(x–1)²+1?
The vertex is (1,1)
What is the formula for vertex form?
f(x)=a(x-h)2+k
What does (h, k) stand for?
The vertex
What is the vertex of the following parabola y=-5(x+2)2+3?
The vertex is (-2, 3)
When does the graph reflect over the x-axis?
When a is negative (less than 0)
Which direction is the parabola if a is positive?
The parabola opens up (smiley face)
Which direction is the parabola if a is negative?
The parabola opens down (sad face)
When does the graph shift right?
When h is positive
If a parabola has a vertex at (-5, 4) and (0, -6) is a point on the parabola, what is a?
a = -2/5
or
a = -0.4
Write the symbolic representation given the following transformations:
Vertical stretch by a factor of 5
Shift right 1 unit
Shift up 7 units
y=5(x-1)2+7
Write the symbolic representation given the following transformations:
Reflect over x-axis
Vertical stretch by a factor of 7
y=-7x2
Write the symbolic representation given the following transformations:
Vertical shrink by a factor of 1/2
Shift left 3 units
y=1/2(x+3)2
Write the symbolic representation given the following transformations:
Reflect over x-axis
Shift left 2 units
Shift up 3 units
y=-(x+2)2+3
How will the parent graph y=x2 be transformed for y=1/4(x+7)2 + 8?
Vertical shrink by a factor of 1/4
Shift left 7 units
Shift up 8 units
How will the parent graph y=x2 be transformed for y=-10(x+6)2 - 2?
Reflect over x-axis
Vertical stretch by a factor of 10
Shift left 6 units
Shift down 2 units
How will the parent graph y=x2 be transformed for y=-0.2x2 - 8?
Reflect over x-axis
Vertical shrink by a factor of 0.2
Shift down 8 units
How will the parent graph y=x2 be transformed for y=8(x-11)2?
Vertical stretch by a factor of 8
Shift right 11 units
What would happen if we changed -12 to 3 in the equation y=-0.3(x+4)2 - 12?
Shift up 15 units
OR
Shift up 3 units from the parent graph