Vertex Form
The highest or lowest point of a function
Vertex
What is the standard form of a quadratic function?
y=ax2+bx+c
What is the square root(-1)?
i
What is the discriminant?
b2-4ac
What is a point that touches the x-axis called?
x-intercept
What is the vertex form of a quadratic function?
y=a(x-h)2+k
(2.5, 0.5)
What is i2?
-1
What is the quadratic formula?
x=(-b+-sqrt(b2-4ac))/2a
What is the curve of a quadratic function called?
Parabola
If the vertex of graph is (-5,-2) and passes through the point (0,123), what is the value of a?
a=5
Let y be height in feet and x be time in seconds. What is the maximum height of the graph y=-16x2+80x+100?
200 feet
Solve for x. x2=-169
x=13i and x=-13i
Solve using the quadratic formula. x2-5x=-6
x=3 and x=2
Solve by completing the square. x2-6x+12=6
x=3+-(sqrt3)
If the vertex of a function is (2,6) and it passes through the point (0,18), what is the function in vertex form?
y=3(x-2)2+6
Let y be height in feet and x be time in seconds. A ball is thrown into air with this equation, y=-5x2+5x+10. At what time does the ball hit the ground?
2 seconds
Find the product of (5+3i)(5-3i). (Write in form a+bi)
What values of b would make the equation 6x2+bx+6=0
b=12 and b=-12
Solve by completing the square. x2+10x+36=10
x=-5+-i
If the vertex of a graph is (-3,5) and it passes through the point (0,-85) what is the function in vertex form?
y=-10(x+3)2+5
The function g is a transformation of the parent function f(x)=x2. The graph is then shifted right 6 units and up 2 units to form the graph of g. Write the equation in standard form. (Hint: Put in vertex form first)
y=x2-12x+38
Find the product. (6+6i)(2+3i) (Write in form a+bi)
-6+30i
Solve using the quadratic formula. 3x2-8x=-7
x=(8+-i(sqrt20))/6
Solve the equation by completing the square. x2+4x+10=5
x=-2+-i