Formulas
x= -b/ 2a
Axis of symmetry
What is the vertex of y = -x2+3x+4
3/2
Does the graph of this equation open up or down? y = x2+x-2
Opens Up
What is the average rate of change of the function f(x)= 2x2+x+5 over the interval -2<x<2?
1
in y=ax2+bx+ c, what is c?
y-intercept
What is the vertex of y = -2x2-4x+48
(-1,50)
Does the graph of this equation open up or down? y = -4(x-2)² + 2
Open Down
Write the following quadratic function in standard form. y = 3(x-3)² - 12
3x² - 18x + 15
What is the axis of symmetry for the function y=-(x-3)2+5
x=3
y= ax² + bx + c
Standard form of a quadratic equation
What is the vertex of y = (x+5)² - 1
(-5,-1)
Write the following quadratic function in standard form. y = 4/3(x-2)² - 5
y = 4/3x² - 16/3x + 1/3
The graph of h is a translation 4 units right and 1 units down of the graph of f(x)=x2. Write the function in vertex form.
h(x)= (x-4)2-1
y= a(x - h)² + k
Vertex Form of a quadratic equation
What is the vertex of y = 2(x-4)2-9
(4,-9)
Does the graph of this equation open up or down? y = 5x2+15x-50
Open Up
Write the following quadratic function in vertex form.
y = 3x² - 6x +8
y = 3(x-1)² + 5
The function h(t)=-16t2+24t models the height of a kangaroo t seconds after it jumps. What is the maximum height of the jump?
9 ft