Quadratics
What shape does the graph of a quadratic make?
A parabola or "u" shape
What is the concavity
h(x) = -4(x -1)(x + 2) + 5
Down
What is the formula used to find the axis of symmetry from a quadratic in standard form?
-b/2a
The vertex occurs on what line?
Axis of symmetry
When is the quiz?
Wednesday
What are some other words for the x-intercepts? Name at least two.
Solutions, roots, zeros.
What are other words for the vertex?
Minimum or maximum
The axis of symmetry lies directly in the middle of the....
x -intercepts, roots, solutions, zeros
Find the vertex
f(x) = - 3x2 -12x - 6
(-2, 6)
What percentage are quizzes worth in this course?
20 percent!
What is the degree of a quadratic?
TWO
How can you tell of the vertex is a minimum or maximum?
Concavity
Identify the axis of symmetry
f(x) = −3(x + 9)2 + 4
x = - 9
f(x) = 15(x + 7) + 3
(-7, 3)
What is
(x + 5)(2x - 3)
2x2 +7x - 15
Identify a, b, and c
p(x) = 4 + 5x - 3x2
a = -3
b = 5
c = 4
In what form is it easiest to find the y-intercept
standard form
Find the axis of symmetry
f(x) = -8x + 2x2 + 6
x = 2
Find the vertex
f(x) = 4(x - 9)(x + 3)
(3, - 144)
What is the late work policy?
Minus ten points a day up to three days.
What are the 3 forms and equations of quadratic functions?
Standard ax2 + bx + c
Factored a(x - r1)(x - r2)
Vertex a(x - h)2 + k
Convert the following into standard form
p(x) = 2(x + 4)(x -6)
p(x) = 2x2 - 4x - 48
Find the axis of symmetry
p(x) = -10000(x - 73)(x - 25)
x = 49
The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) that the company spends on advertising according to the model:
P(x) = 230 + 20x – 0.5x2 How much should the company spend on advertising to maximize profits?
10 hundreds of dollars or 1000 dollars
When is the last day of the first quarter?
October 11, 2019