Formulas
What is the formula to solve for the axis of symmetry?
x= -b/ 2a
What is axis of symmetry of
y = -x2 + 4x - 1 ?
x = 2
What is the domain for this equation?
y = (x+5)2 + 4
All Real Numbers
Write the following quadratic function in standard form. y = (x-2)² + 6
y = x² - 4x + 10
When the a value is greater than 1, that represents a ____ .
When the a value is between 0 and 1, that represents a ____.
When the a value is greater than 1, that represents a stretch.
When the a value is between 0 and 1, that represents a compression.
How do you solve for the value k?
What is the vertex of
y = -4(x-3)²
(3,0)
What is the range in the equation:
y = 2(x-1)² - 6
y > -6
Write the following quadratic function in vertex form.
y = 3x² - 18x + 15
y = 3(x-3)² - 12
Describe the transformations:
y = (x+5)² - 1
Shift 5 units left and 1 unit down
What is standard form of a quadratic equation?
y= ax² + bx + c
What is the vertex of
y = (x+5)² - 1
(-5,-1)
What is the range for the equation:
y = (x + 5)2
y > 0
Complete a table for the equation:
y = (x-2)² - 6
(0, -2)
(1, -5)
(2, -6)
(3, -5)
(4, -2)
Write the equation in vertex form to match the following description:
Reflect over x-axis, shift 2 units right, shift 3 units up.
y = -(x - 2)2 + 3
What is vertex form of a quadratic equation?
y= a(x - h)² + k
What is the axis of symmetry and vertex in the equation:
y = -4(x-1)² + 2
x = 1 and (1, 2)
What is the range for the equation:
y = -x2 + 4x + 3
y < 7
Complete a table for the equation:
y = -0.5(x - 3)2 - 2
(1, -4)
(1, -2.5)
(3, -2)
(4, -2.5)
(5, -4)
Describe the transformations:
y = -x2+4
Reflect across x-axis, shift up 4 units.
What is the lowest point of a parabola called?
What is the highest point of a parabola called?
How do you know if you will have a highest or lowest point?
When the a value is positive, the parabola will open up and the vertex will be the minimum.
When the a value is negative, the parabola will open down and the vertex will be the maximum.
What is the vertex in the equation:
y = x2 + 10x + 24
(-5, -1)
What is the domain and range for the equation:
y = -2x2 + 4x + 1
Domain: All Real Numbers
Range: y < 3
Create a table for the equation:
y = -2x2 + 12x - 15
(1, -5)
(2, 1)
(3, 3)
(4, 1)
(5, -5)
Write the equation in vertex form for the following:
Reflect over x-axis, Stretch by factor of 4, Shift 3 units right
y = -4(x-3)²