Introduction to Quadratics
Standard Form
Vertex Form
Completing the Square
100
What is the domain of quadratic function?
(-∞, ∞)
100
What is standard form for quadratic equations?
ax^2+bx+c
100
What is vertex form for quadratic equations?
y=a(x-h)^2+k
100
How do you get c for completing the square
c=(b/2)^2
200
How do you find the y-intercept in standard form?
C
200
Name the three key points needed to graph a quadratic function in standard form.
Vertex, Axis of symmetry, and Y-intercept
200
In the equation y = 3(x−2)^2+ 5, the vertex is located at this point.
(2,5)
200
To complete the square for x^2+8x, you must add this number.
16
300
What type of curve is a quadratic function
A parabola
300
Find the vertex of the quadratic function y = x^2 - 4x + 3.
Vertex: (2,-1)
300
Find the y-intercept of the quadratic equation
y=2(x-4)^2-5
Y-Intercept : 27
300
Write x^2-10x+25 as a perfect square
(x-5)^2
400
When does parabola open or down?
Opens up if a > 0
Opens down if a < 0
400
Plot 5 points for the graph
-2x^2-8x-5
(-2, 3), (-1, 1), (-3, 1), (0, -5), (-4, -5)
400
Plot 5 points
y=-(x-4)^2-2
(4,-2), (3,-3), (2,-3), (2, -6) (5,-6)
400
Rewrite x^2+6x+5 in vertex form by completing the square.
(x+3)^2-4
500
What is the formula for the axis of symmetry and what type of line is the axis of symmetry
A vertical line
x=b/(2a)
500
A quadratic function has a vertex at (3,−2) and a y-intercept at (0,7). Write the equation in standard form.
y=x^2-6x+7
500
A parabola has a vertex at (−4,2) and passes through the point (−3,5). Write the equation in vertex form.
y=3(x+4)^2+2
500
Rewrite 2x^2+12x+5 in vertex form by completing the square.
y=2(x+3)^2-13