Problem 1 :
Write a quadratic equation with a minimum that has been shifted 5 units to the right and 7 units down from the parent function.
Problem 2 :
Write a quadratic equation with a maximum that has been shifted 4 units to the left and 3 units up from the parent function.
Problem 3 :
Write a quadratic equation with a maximum that has been shifted 2 units to the right and 1 units down from the parent function.
Problem 4 :
Write a quadratic equation with a minimum that has been shifted 5 units to the left and 6 units down from the parent function.
Problem 5 :
What is the equation of this graph?
a. y = -x2 + 3 b. y = -3x2 c. y = -(x + 3)2
d. y = -(x - 3)2
Problem 6 :
Which function includes a translation of 3 units to the left?
a. f(x) = (x + 3)2 + 1 b. f(x) = 3x2 + 1
c. f(x) = (x - 3)2 + 1 d. f(x) = (x + 1)2 - 3
Problem 7 :
Which equation shows a translation of 3 left and vertical compression by a factor of 2 to the graph of y = x2 ?
a. y = 2(x - 3)2 b. y = 2(x + 3)2
Problem 8 :
Which equation describes a parabola that opens downward, is congruent to y = x2, and has its vertex at (0, 3)?
a. y = (x + 3)2 - 1 b. y = -x2 + 3
c. y = -(x - 3)2 d. y = x2 + 3
Problem 9 :
List the sequence of steps required to graph the function
f(x) = -(x + 4)2 - 6
a. Horizontal translation 4 units to the right, vertical compression by a factor of 1, vertical translation 6 units down.
b. Horizontal translation 4 units to the right, reflection in x-axis, vertical translation 6 units down.
c. horizontal translation 4 units to the left, vertical translation 6 units up, reflection in x-axis.
d. horizontal translation 4 units to the left, reflection in x-axis, vertical translation 6 units down.
Problem 10 :
Which function matches the graph?
a. f(x) = -2(x - 3)2 + 1 b. f(x) = 2(x + 3)2 - 1
c. f(x) = (x + 3)2 + 2
Problem 11 :
Consider a parabola P that is congruent to y = x2, opens upward, and has vertex (-1, 3). Now find the equation of a new parabola that results if P is reflected in the x-axis and translated 3 units down.
a. y = -(x + 4)2 + 3 b. y = (x - 1)2 + 6
c. y = -(x + 1)2 d. y = -(x - 2)2 + 3
1) y = (x - 5)2 - 7
2) y = -(x + 4)2 + 3
3) y = -(x - 2)2 - 1
4) y = (x + 5)2 - 6
5) y = -(x - 3)2, option d
6) f(x) = (x + 3)2 , option a
7) y = 2(x + 3)2
8) d. y = x2 + 3, option d
9) horizontal translation 4 units to the left, reflection in x-axis, vertical translation 6 units down, option d
10) f(x) = 2(x + 3)2 - 1, option b
11) y = -(x + 1)2, option c
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM