Vocab
Define Coefficient
A number that multiplied by a single variable.
Find the vertex of f(x)= 2(x - 2)2 +4
Vertex: (2,4)
Find the vertex of f(x)=2(x-5)2 +2
vertex: (5,2)
Find the y-intercept of p(x)=x2 +4x +10
Y-intercept = (0,10)
Define Binomial
An expression with two terms.
Find the y-intercept of the standard form p(x) = x2 +4x +8
Y-intercept: (0,8)
Find the line of symmetry of f(x)=2(x-5)2 +2
Line of Symmetry: x = 5
Is the function compressed or stretched for p(x)=x2 +4x +10
a=1, so no stretch or compression
Define Polynomial
An expression with more than 3 terms.
Find the vertex of the standard form function: p(x)=2x2 +4x +12
Vertex: (-1, 10)
Find the y-intercept of f(x)=2(x-5)2 +2
Y-intercept = (0,52)
Find the vertex of p(x)=x2 +4x +10
Vertex: (-2,-6)
Define Square Root
A number that is multiplied by itself.
Find the x-intercepts of f(x)= (x-6)2 -2
x-intercepts: (0,8) & (0,4)
Convert this vertex function into a standard form f(x)=2(x-5)2 +2
Standard form: f(x)= 2x2 -20x +52
Find the line of symmetry of p(x)=x2 +4x +10
x=2
Define Y-intercept
When a function crosses Y
Find g(x), where g(x) is the translation 6 units left and 2 units up. Write the answer in the form a(x-h)2 + k.
Form: g(x)=a(x-6)2 +2
Find the x-intercepts of f(x)=2(x-5)2 +2
Impossible
Find the x-intercepts of p(x)=x2 +4x +10
Impossible. No x-intercepts