Vocab
Sequence with one value.
Monomial
Find g(x), where the translation 12 units left and 4 units up of f(x) = x^2.
Write your answer in the form a(x - h)^2 + k, where a, h, and k are integers.
f(x) = 1(x + 4)^2 + 4
g(x) = 1(x - 6)2 + 5
What is the vertex of the function?
Vertex : (6 , 5)
Sequence with more then three values.
Polynomial
Find g(x) where g(x) is the translation 8 units left and 5 units down of f(x) = x^2.
Write your answer in the form a(x - h)^2 + k, where a, h, and k are integers.
f(x) = 1(x + 8)^2 - 5
What is the y-intercept of the function
g(x) = 1(x + 10)2 - 3
Y-intercept : (0 , 97)
A number that when multiplied by itself equals a given number.
Square Root
Find g(x) where g(x) is the translation 17 units right and 10 units down of f(x) = x^2.
Write your answer in the form a(x - h)^2 + k, where a, h, and k are integers.
f(x) = 1(x - 17)^2 - 10
What is the y-intercept of the function
g(x) = 2(x - 32)2 + 12
Y-intercept : (0, 2060)
An algebraic relationship between two variables which are defined as input and output.
Function.
Find g(x) where g(x) is the translation 6 units left and 13 units up of f(x) = x^2 and when the parabola is flipped upside down.
Write your answer in the form a(x - h)^2 + k, where a, h, and k are integers.
f(x) = -1(x +6)^2 +13
What is the x-intercepts of the function
g(x) = 1(x + 2 )2 + 4
X-intercepts : (0 , 0) and (-4 , 0)
What is the vertex of the function
f(x) = x2 + 3x + 15
Vertex : (-1.5 , 12.75)
A geometric sequence.
Find g(x) where g(x) is the translation 15 units right and 17 units up of f(x) = x^2 and when the parabola is flipped upside down.
Write your answer in the form a(x - h)^2 + k, where a, h, and k are integers.
f(x) = -1(x - 15)^2 + 17
Find the x-intercepts of the function
g(x) = 2(x - 17.5)2 - 32