Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
x2 - 3x + 1 = 0
What is standard form?
Name the axis of symmetry y=2x2+8x-24.
What is x = -2?
Name the vertex
y= (x-3)2 +4
What is (3,4)?
Graph the equation. Must include vertex, and at least one point on each side.
f(x) = 2x2 - 8x + 9
What is graph on board?
Name the y-intercept of the equation f(x)=(x-8)2-2.
What is y = 62?
What is (0, 62)
Vertex of
y = (x + 1)2 - 8
What is (-1, -8)?
Graph the equation. Must include vertex, and at least one point on each side.
f(x) = (x + 2)2 - 3
What is graph on board?
When a quadratic equation is written in this form y = ax2 +bx + c
What is the standard form?
5x2+ x - 1 = 0
What is standard form?
Name the axis of symmetry and state the y-intercept y=x2 - 4
What is AOS x=0 and y-intercept y = -4 or (0, -4)?
Vertex
y = x2 - 16
What is (0,-16)?
Graph the equation. Must include vertex, and at least one point on each side.
f(x) = (x + 1)2 - 2
What is graph on board
The name of the equation x=-b/2a helps us to find a key feature of a quadratic function.
What is axis of symmetry?
y = 2x - 1
What is slope-intercept form?
State the domain, range, axis of symmetry, vertex, and y-intercept of:
y = -2x2 + 4x - 2
What is:
Domain - all real numbers
Range y less than/equal too 0
Axis of Symmetry x=1
Vertex (1, 0)
y-intercept y= -2 ?
Name the vertex
f(x) = x2 - 4x - 5
What is (2,-9)?
Graph the equation. Must include vertex, and at least one point on each side.
y = (x - 4)2 + 3
What is graph on board.
True or False: Domain is sometimes all real numbers.
What is False?
y = -1/2 (x + 7)2 - 4
What is vertex form?
Name the x-intercepts.
y= (x-1)2 + 1
What is None?
Name the vertex
f(x)= 2x2 + 4x - 6
What is (-1,-8)?
Graph the equation. Must include vertex, and at least one point on each side.
f(x) = -x2 - 6
What is graph on board