This is the y-intercept in standard form.
What is the c-value?
Name the form AND one piece of information it gives you:
f(x) = x2 - 3x + 1
What is standard form?
y-int = 1
a = 1 (opens up, RoC = 1)
Find the x-intercepts.
f(x) = 2(x - 2)(x + 6)
What is (2,0) and (-6,0)?
Find the vertex
y = (x - 3)2 + 4
What is (3,4)?
Graph the equation. Must include vertex and at least two other points.
y=(x - 5)(x - 1)
What is graph on board?
Name the form AND one piece of information it gives you:
y = 2 (x - 5)² + 6
What is Vertex form?
vertex: (5, 6)
a = 2 (open up, RoC = 2, steeper)
Find the x-intercepts
y = (x)(x - 2)
What is (0,0) and (2,0)?
Find the vertex
y = (x + 1)2 - 8
What is (-1, -8)?
Graph the equation. Must include vertex and at least two other points.
y = (x+2)(x-2)
What is graph on board?
When a quadratic equation is written in this form
y = ax2 +bx + c
What is the standard form?
Name the form AND one piece of information it gives you:
f(x) = -5x2 + x - 1
What is standard form?
y-int = -1
a = -5 (steeper, opens down, RoC = 5)
Find the x-intercepts.
y = x2 - 4
What is (-2,0) and (2,0)?
Find the vertex
y=(x+4)(x-4)
What is (0,-16)?
Graph the equation. Must include vertex and at least two other points.
y=(x+1)2 - 2
What is graph on board
This is the number before the x2 that determines the vertical stretch factor.
What is the a-value?
Name the form AND one piece of information it gives you:
y = 2(x - 1)(x + 7)
What is factored form?
x-ints: 1, -7
a = 2 (steeper, opens up, RoC = 2)
Find the x-intercepts
y = x2 - x - 2
What is (-1,0) and (2,0)?
Find the vertex
f(x) = x2 - 4x - 5
What is (2,-9)?
Graph the equation. Must include vertex and at least two other points.
y=(x - 4)2 + 3
What is graph on board.
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
Name the form AND one piece of information it gives you:
y = - 1/2 (x + 7) - 4
What is vertex form?
vertex: (-7, -4)
a = -1/2 (opens down, flatter/wider, RoC = 1/2
Find the x-intercepts.
f(x) = (x - 1)2 + 1
What is None?
Find the vertex
f(x) = 2x2 + 4x - 6
What is (-1,-8)?
Graph the function. Must include vertex, and at least two other points.
f(x) = -x2 - 6x - 9
What is graph on board