Quadratics 1
Quadratics 2
Transformations
Polynomial Functions
Trigonometry
100
This point represents the minimum or maximum value of a quadratic equation
What is the vertex?
100
The strategy to find the line of symmetry based on zeros.
What is find the midpoint using
x = \frac{x_1 + x_2}{2}
100
The equation for g that is based on f shifted 3 units down and 4 units to the left.
What is
g(x) = f(x+4)-3
100
The leading coefficient and degree of
f(x) = 2x^3-4x^6-7
What is leading coefficient of -4 and degree of 6?
100
Convert 27 degrees to radians.
What is
27 \frac{\pi}{180} = \frac{3\pi}{20}
200
This line cuts the parabola in half.
What is the Line of Symmetry or Axis of Symmetry?
200
The strategy to find the vertex when the equation is in standard form
f(x) = ax^2+bx+c
What is - Find the x-coordinate with
x = \frac{-b}{2a}
Then plug this value into f(x), or
f(\frac{-b}{2a})
In summary, the vertex is
(\frac{-b}{2a},f(\frac{-b}{2a}))
200
The equation for g that is based on f reflected over the y axis.
What is
g(x) = -f(x)
200
The strategy to find the y-intercept.
What is set x = 0 and solve for y or find f(0)?
200
Convert
\frac{-47\pi}{20}
to degrees between 0 and 360.
What is
\frac{-47\pi}{20}+\frac{80pi}{20} = \frac{33pi}{20}\cdot \frac{180}{pi}=297
300
The zeros of
f(x) = (x+3)(x-2)
What are
-3 and 2
300
The zeros of
f(x) = x^2+7x
What is
x = 0, -7
300
The equation for g that is based on f reflected over the x-axis.
What is
g(x) = f(-x)
300
What is the strategy to find the x-intercepts?
What is set y = 0 and solve for x or find f(x)=0?
300
Find the
\sec \theta
What is
29/21
400
The axis of symmetry for
f(x) = 2x^2-8x+12
What is
x=2
400
The zeros of
f(x) = -2x^2-10x-12
What is
x = -3, -2
400
The equation for g that is based on f stretched vertically by 3 and compressed horizontally by 2.
What is
g(x) = 3f(2x)
400
Describe the end behavior using limit notation of
f(x) = -3x^5-7x^4+6x^3+2x^2-9x+11
What is
\lim_{x \to -infty} f(x) = \infty
and
\lim_{x \to infty} f(x) = -\infty
400
What is
\cot \theta
What is
24/7
500
The vertex of
f(x) = 1/2(x+7)^2 - 5
What is
(-7, -5)
500
The strategy to find the y-intercept.
What is set x = 0 and solve for y or find f(0)?
500
The equation for g that is based on f shifted 2 units up and 3 units to the right.
What is
f(x) = g(x-3)+2
500
The behavior of the graph at the x-axis for
f(x) = (x+3)^3(x+1)^2(x-4)
What is
x = -3, crosses but flattens
x = -1, touches and turns around
x = 4, crosses
500
A place where you will find a tan line.
What is the beach?