Parabolic Parts
"a" value is negative
What value do both forms share that will always be the same in either form?
The a-value in both forms will always be the same.
What is the vertex of this equation without using your calculator?
y = 2(x - 7)2 - 1
What does it mean to solve a quadratic?
Find the solutions (x-intercepts)
What are all the other names of an x-intercept?
Root, Zero, Solution
What is the axis of symmetry formula?
x = -b / 2a
How can you use the axis of symmetry formula to help you find the vertex?
The AOS shares the same x-value as the vertex.
Solve the quadratic by graphing: y = -2x2 + 4x + 6
Plot your points on the whiteboard.
Solutions: (-1, 0) and (3, 0)
A parabola that has a maximum opens down while a parabola that has a minimum opens up.
Convert the equation into standard form: y = -3(x - 4)2 + 8
y = -3x2 + 24x - 40
The vertex of the equation y = 3x2 - 6x + 5 is (1, 2). Write the equation in vertex form.
y = 3(x - 1)2 + 2
Solve the quadratic by factoring: y = x2 + 8x + 16
Solution: (-4, 0)
If an equation is in standard form and you don't have a calculator, how can you find the y-intercept?
The y-intercept is the c-value if your equation is in standard form.
Convert the equation into vertex form: y = -2x2 + 4x + 7
y = -2(x - 1)2 + 9
Write an equation in vertex form given the vertex (-3, -2) and it passes through the point (-6, -20).
y = -2(x + 3)2 - 2
Solve the quadratic by graphing: y = 2 - 3x2
Plot your points on the whiteboard.
Solutions: (-.82, 0) and (.82, 0)
Given the quadratic function: y = -(x + 4)2
Identify: vertex, max/min, AOS, y-intercept, solution(s), Domain, and Range
Vertex: (-4, 0), maximum, AOS: x = -4, y-intercept: (0, -16), solution(s): (-4, 0), Domain: ARN, Range: y < 0
y = 4(x - 1)2 - 4
Write an equation in vertex form given the vertex (-2, -6) and it passes through the point (7, 21).
y = 1/3(x + 2)2 - 6
Solve the quadratic by factoring: y = 4x2 - 16
Solutions: (-2, 0) and (2, 0)