WorksheetsAlg STAAR Quadratic Transformations A.7(C)
Total questions: 15
Worksheet time: 9mins
The graph of 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?
The graph of f(x)=x2 was translated 4.5 unites to the let to create the graph of function g. Which function represents g?
g(x)=(x−4.5)2
g(x)=(x+4.5)2
g(x)=x2−4.5
g(x)=x2+4.5
The graph of quadratic parent function f was transformed to create the graph of g(x)=f(x+2)−5
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?
The graph of g is a reflection of the graph of f across the x-axis.
The vertex of the graph of g is 9 unites to the right of the vertex of graph of f.
The graph of g is a reflection of the graph of f across the y-axis.
The y-intercept of the graph of g is 9 unites below the y-intercept of the graph of f.
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 ? Record your answer as an integer (this means it CAN be a negative or positive number but no decimals).
(a)
The graph of g(x)=x2 was transformed to create the graph of h(x)=−(4x)2 . Which of these describes the transformation from the graph of g to the graph of h?
A reflection over the x-axis and a horizontal stretch
A reflection over the y-axis and a horizontal stretch
A reflection over the x-axis and a vertical stretch
A reflection over the y-axis and a vertical stretch
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 horizontal shift to the right 7.5 units
A horizontal shift to the left 7.5 units
A vertical shift down 56.25 units
A vertical shift up 56.25 units
The graph of f(x)=x2 is transformed to create the graph of h(x)=2f(x) . Which graph best represents f and h ?
Function p is in the form of y=ax2+c . If the values of a and c are both less than 0, which graph could represent p ?
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?
The graph of g is narrower then the graph of f.
The graph of g is wider then the graph of f.
The graph of g is 7 units below the graph of f.
The graph of g is 7 units above the graph of f.
Quadratic functions q and w are graphed on the same coordinate grid. The vertex of graph of q is 18 units below the vertex of graph of w. Which pair of functions could have been used to create the graphs of q and w?
q(x)=18x2 and w(x)=x2
q(x)=x2+18 and w(x)=x2
q(x)=−18x2 and w(x)=x2
q(x)=x2−18 and w(x)=x2
The quadratic function f(x)=x2 with vertex (0,0) has been transformed to create g(x)=f(x+8.7) . What is the vertex of g ?
(0,8.7)
(0,−8.7)
(8.7,0)
(−8.7,0)
The quadratic function f(x)=x2 is transformed to create the function g(x)=f(x−6)+2 . Choose the correct answer from each drop-down menu to complete the sentence.
The graph of f is translated 6 units (a) and 2 units (b) to create the graph of function g .
The quadratic function f(x)=x2 is transformed to create g as shown in the graph. What is the equation for g ?
g(x)=f(x+3)−2
g(x)=2f(x+3)−2
g(x)=f(x−3)+2
g(x)=2f(x−3)+2
If f(x)=x2 and g(x)=f(x+7.2) , what is the vertex of the graph of g ?
(7.2,0)
(−7.2,0)
(0,7.2)
(0,−7.2)
