Lesson 1
The name for the set of all possible input values (x-values) for a function.
What is Domain?
This is the family name for the standard function
f(x) = x ^ 2
What is quadratic family?
The type of transformation that flips a graph over a specific line like a mirror.
What is reflection?
The form of y = a (x - p) (x - q)
What is intercept form?
The slope of the line represented by the constant function f(x) = 5.
What is m = 0?
In the vertex form of a quadratic, a (x − h) ^ 2 + k, this letter represents the vertical shift of the parabola
What is k?
The graph of h(x) = −x ^ 2 is a reflection of the graph of h(x) = x ^ 2 over this axis
What is x-axis?
Change from the vertex form of f(x)= -3(x + 7) ^ 2 -11 to the standard form of a function.
What is f(x) = 3x ^ 2 - 42x - 158?
What is negative slope?
Compared to f(x) = x ^ 2, the graph of g(x) = (x + 3) ^ 2 has been shifted this many units horizontally.
What is 3 units to the left?
The function f(x) = ∣x − 4∣ is symmetric about the vertical line x = 4, which acts as its axis of symmetry. Find the reflected point of the point (1, 3) across the line of symmetry
What is (7, 3)?
Write an equation of the parabola vertex (8, 3), passes through (19, 4) in vertex form
What is f(x) = 1/121 (x - 8) ^ 2 + 3?
A form of a linear equation written as y − y1 = m (x − x1)
What is point-slope form?
In the function f(x)= 2 (x − 4) ^ 2 + 5, the coordinates of the vertex are this ordered pair.
The parent function f(x) = x ^ 2 is what to create the new function f(x) = -1/3x ^ 2
What is vertically compressed and reflected over the x-axis?
Solve:
r − s + t = 2
2r + s −3t = −9
−r + 2s + t = 7
What is (-1, 3, 4)?
A line passes through points (1, 2) and (3, 10). Using the slope formula, find the equation of the line in slope-intercept Form (y = mx + b).
What is y = 4x − 2?
The sequence of transformations that map f(x)=x ^ 2 onto g(x) = −3 (x + 1) ^ 2 − 2?
What is reflection over the x-axis, vertical stretch by the factor of 3, horizontal shift 1 unit to the left, and 2 units down?
The function g(x) is created by reflecting f(x) = 2 (x - 1) ^ 2 + 3 over the x-axis and vertically stretching it by a factor of 4.
What is g(x) = −8 (x − 1) ^ 2 − 3?
Solve:
a + 2b + 3c = 14
2a + 4b + 6c = 28
3a + 6b + 9c = 42
What is infinite solutions?