X-Intercepts are a solution to..
What is quadratics/ parabolas
When the vertex is the highest point of a parabola, what is it called?
What is maximum
write the equation in vertex form for a quadratic with a vertical stretch of 3 and vertex of (-1,-4)
y=3(x+1)2-4
A u-shaped graph
What is a parabola
How is standard form written for a quadratic equation? and what is c?
y = ax2 + bx + c
c is the y-intercept
Factor b2 -9
(b + 3)(b -3)
If the max of a quadratic is -7 what is the Range?
y< -7
Equation for quadratic's parent function?
What is y=x2
If the quadratic has solutions of -3 and 5 and goes through (1,16) write the equation in factored form
y=(x+3)(x-5)
Describe each transformation:
y= -x2
Reflection (Flip) over x-axis
Factor m2 + m − 90
(m − 9)(m + 10)
If the vertex of a parabola is (-5,3), the axis of symmetry is...
x= -5
What are the solution(s)?
There are no solutions
write the equation in standard form
f(x) = 2(x+3)(x-3)
y=2x2-18
What is A in this equation? x2+15x-7
What is 1
Describe each of the transformations:
y= (x - 3)2 + 2
Shift 2 units up and
Shift right 3 units
Factor b2 + 16b + 64
(b+8)(b+8) or (b + 8)2
the vertex for the equation: y= 2(x-3)2 +5 is
(3, 5)
If the equation is y= 1/2(x -5)+2 What is the vertex and axis of symmetry
(5,2)
x=5
Write the equation in standard form:
y= 1/3 (3x +1)2
y=3x2+2x+1/3
What is B in this equation? 7x2+76
0
Describe each transformation:
y= 1/4(x-4)2 +6
Shrink/compressed by 1/4
Shift right 4 units and
Shift up 6 units
Factor
6x2 - x = 2
(3x -2)(2x +1)
What are 2 more words that means the zeros of a function?
the x-intercepts
solutions
Roots
The Quadratics vertex is (2,3) and it contains the point (3,6). The equation in vertex form is.
y=3(x-2)2 +3
Solve this quadratics by factoring to find the zeroes
X2 + 16 = 10x
(x -2)(x-8)
x = 2 or x = 8
A vertical line that runs through the vertex and cuts a parabola into 2 symmetric pieces is called..
What is Axis of Symmetry
Write the equation for the graph in vertex form
y= (x-1)2 -4
Write the equation for this parabola in factored form
(x+1)(x-3)