Vocab
Define a function
An expression, rule, or law that defines a relationship between one variable and another.
What method would you use to go to standard form from vertex form in a quadratic function?
PEMDAS
Find the vertex of the function g(x)=2x^2 +4x
(1,0)
Find the vertex of the function p(x)=x^2+6x+12
(-6,12)
What is the difference between a binomial and a polynomial?
A binomial is an expression with two algebraic terms while a polynomial has more than two terms.
Find g(x), where g(x) is the translation 3 units left and 7 units up of f(x) + x^2
g(x)=a(x-3)^2+7
What are the two types of forms of a quadratic function?
Vertex and Standard form
Find the Y-int of the function p(x)=x^2+6x+12
(0,12)
Define a Geometric sequence
sequence where each term after the first is multiplying the previous by a common ratio.
What is the Y intercept of the function g(x)=1(x-8)^2+4
(0,4)
Find the Y-int of the function g(x)=2x^2 +4x
(2,0)
What equation would you use to find the vertex?
( -b/2a, c-an 2)
Define a coefficient
A constant quantity before multiplying the variable in an algebraic expression.
Find g(x), where g(x) is the translation 8 units left and 7 down of f(x)=X². a(x-h)² + k
g(x) a(x-8)² +7
Besides vertex and standard form, what is the other type of form used in quadratic functions?
Factored form.
Find the y-int of the function p(x)=x^2+3x-12?
(0,-12)
Define square root
A number which produces a specific quantity when multiplied by itself.
Find g(x), where g(x) is the translation 20 units left and 6 down of f(x)= X². a(x-h)² + k
Answer: g(x) a(x-20)² +6
Is the function g(x)=2(x-4)^2-2 compressed or stretched?
A stretched function because a is greater than 1.
Is the function f(x)=.25x^2-3x+7
Compressed because a is lower than 1.
Compressed.