ax2+bx+c
What are two other names for x-intercepts?
Roots and zeros
From the vertex form
f(x)=a(x-h)^2+k
which letters give you the vertex?
(h,k)
Change y=(x-1)(x+3) to standard form
y=x^2+2x-3
What does a positive "a" value tell you about the quadratic?
Opens up or there is a minimum
What is the FACTORED form of a quadratic?
(m+x)(n+x)
What are the roots of this quadratic?
(0,0) (6,0)
What is the vertex
(-4,-1)
Convert the following quadratic to standard form
y=(x-2)^2
y=x^2-4x+4
What is the y-intercept of
y=x^2-8x+7
(0,7)
What is VERTEX form of a quadratic?
a(x-h)2+k
What are the roots of the following quadratic:
f(x)=(x+10)(x-2)
(-10,0) (2,0)
From standard form, how do you find the x-value of the vertex?
x=-b/(2a)
Change the following quadratic to standard form
f(x)=-(x+3)^2+1
f(x)=-x^2-6x-8
Would the a value be positive or negative for this graph?
negative
What does the STANDARD form of a quadratic tell you without doing ANY work?
The y-intercept
What are the zeros of
y=-x^2+2x
(0,0)(2,0)
What is the vertex of
y=2(x+2)^2-2
(-2,-2)
Write the equation of the quadratic in VERTEX form from the graph
y=-2(x+4)^2+2
What is the axis of symmetry?
x=-3
What does the FACTORED form of a quadratic tell you without doing ANY work?
The roots
What are the roots of
f(x)=-(x+3)^2+4
(-1,0) (-5,0)
What is the vertex of
y=-2x^2+8x-5
(2,3)
Write the equation the quadratic in FACTORED form from the graph
y=1/2(x-6)(x-2)
What is the axis of symmetry
y=x^2+6x+11
x=-3