From a Graph
From an Equation
Vertex Point
Wild Card 1
Wild Card 2
100
The quadratic function of f(x)=x2 is transformed to create g as shown in the graph.
What is the equation for g?
A. g(x)= f(x+3) - 2
B. g(x)= 2f(x+3) - 2
C. g(x)= f(x-3) + 2
D. g(x)= 2f(x-3) + 2
B. g(x)=2f(x+3)-2
100
Which answer choice describes how the graph of f(x)= x2 was transformed to create the graph of n(x)=x2 - 1?
A. A vertical shift up
B. A horizontal shift to the left
C. A vertical shift down
D. A horizontal shift to the right
C. A vertical shift down
100
Determine the vertex.
(2, -5)
100
What are the zeros of the graph?
x = -1 and x = 3
100
The graph of a quadratic function is shown on the grid. What equation best represents the axis of symmetry?
x = 2
200
Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q.
Which function best represents the graph of q?
A. q(x)= -(x - 2)2
B. q(x)= - (x+2)2
C. q(x)= - x2 - 2
D. q(x)= - x2 + 2
f(x)=-x^2+2
200
The graph of f(x)= x2 was transformed to create the graph of g(x)= f(x) - 9.
Which statement about the graphs is true?
A. The graph is a reflection across the x-axis
B. The graph is moved 9 units to the right
C. The graph is a reflection across the y-axis
D. The graph is moved 9 units down
D. The graph is moved 9 units down
200
Determine the vertex.
(-4, 0)
200
The graph of f(x) = x is transformed to create the graph of h(x)=2f(x). Which graph best represents f and h?
Graph J
200
The graph of f(x)= x2 is shown on the grid.
Which statement about the relationship between the graph of f and the graph of g(x) = 7x2 is true?
A. The graph of g is narrower than the graph of f.
B. The graph of g is wider than the graph of f.
C. The graph of g is 7 units below the graph of f.
D. The graph of g is 7 units above the graph of f.
A. The graph of g is narrower than the graph of f.
300
The graph f(x)=x2 is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?
Graph J
300
The graph of g(x) = x2 was transformed to create the graph of
h(x)=-(x/4)^2
Which of these describes the transformation form the graph of g to the graph of h?
A. A reflection over the x-axis and a horizontal stretch
B. A reflections over the y-axis and a horizontal stretch
C. A reflection over the x-axis and a vertical stretch
D. A reflection over the y-axis and a vertical stretch
A. A reflection over the x-axis and a horizontal stretch
300
The function f(x)= x2 was transformed to create the function g(x)=f(x-3)-9. What are the coordinates of the vertex of the graph of g?
(3, -9)
300
J. 2n2 - n - 28
300
Quadratic function h can be used to model the height in feet of a rocket from the ground t seconds after it was launched. The graph of the function is shown.
What is the maximum value of the graph of the function?
225 feet
400
The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x+2)-5
Which graph best represents g?
Graph H.
400
The graph of f(x) = x2 was transformed to create the graph of g(x)= (x - 7.5)2. Which of these describes this transformation?
A. A horizontal shift to the right 7.5 units
B. A horizontal shift to the left 7.5 units
C. A vertical shift down 56.25 units
D. A vertical shift up 56.25
A. A horizontal shift to the right 7.5 units
400
Determine the vertex.
f(x)= 3(x + 5)2 - 6
(-5, -6)
400
Function g is defined by g(x) = 3x2 -2x - 5. What are the solutions to g(x)=0?
x = -1 and
x = 5/3
400
Function p is in the form y =ax2 + c. If the values of a and c are both less than 0, which graph could represent p?
Graph H
500
The graph of quadratic function p is shown on the grid. If k(x)=x2 and p(x) = k(x) + n, what is the value of n?
-6
500
The graph of f(x)=x2 is transformed to create the function g(x)= -3(x + 2)2 - 6. Write the transformations that are occurring in the function.
Reflection across the x-axis
Vertical Stretch
Shift left
Shift down
500
If f(x)=x2 and g(x)=f(x+7.2).
What is the vertex of the graph of g?
A. (7.2, 0)
B. (-7.2, 0)
C. (0, 7.2)
D. (0, 7.2)
B. (-7.2, 0)
500
For quadratic function h,
h(-3/2)=0 and h(5)=0 .
What is a possible equation for h in factored form?
h(x)=(2x + 3)(x - 5)
500
What are the solutions to this equation?
5x2 = 30x - 45
x = 3