Open Up/Down, Y-Intercept
State whether the parabola opens up or down and find the y-intercept:
y=x2+3x+9
Open up, (0,9)
How many x-Intercepts does the following function have?
y=-2x2+4x+1
Two X-Intercepts
If a hen and a half lay an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?
24
What is the equation to find the axis of symmetry? (This allows us to find the vertex)
-b/2a
Find the point(s) of intersection for the two equations:
y=5 and y=-(x+2)2+5
-2,5
State whether the parabola opens up or down and find the y-intercept:
y=-3x2+7x-5
Open Down, (0,-5)
Find the x-intercepts of y=(x-2)(x+3)
2,0 and -3,0
Old Granny Adams left half her money to her granddaughter and half that amount to her grandson. She left a sixth to her brother, and the remainder, $1,000, to the dogs’ home. How much did she leave altogether?
12000 dollars
Find the vertex of the function:
y=x2+8x+3
(-4,-13)
Find the point(s) of intersection for the two equations:
y=x-1 and y=x2-2x+4
no solutions
State whether the parabola opens up or down and find the y-intercept:
y=-x2+4
Open Down, (0,4)
Find the X-Intercepts of the function (Use your graphing calculator):
y=4x2-5x-6
(-3/4,0) and (2,0)
One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I will be twice as old as my brother.” How old are they each now?
17 and 7
Find the vertex of y=9+(x-2)2
(2,9)
Find the point(s) of intersection for the two equations:
y=2x-3 and y=x2-2x-3
0,-3 and 4,5
State whether the parabola opens up or down and find the y-intercept:
y=2x2
Open Up, (0,0)
Find the x-intercept(s) of the function (graphing calculator):
y=4x2-12x+9
(3/2,0)
Using only addition, add eight 8s to get the number 1,000.
888+88+8+8+8
Find the vertex of the function:
y=2x2-7
(0,-7)
Find the point(s) of intersection for the two equations:
y=-x2-x+12 and y=x2+7x+12
(0,12) and (-4,0)
State whether the parabola opens up or down and find the y-intercept:
y=-3x2+2x
Open Down, (0,0)
Give an example of a quadratic function that has no x-intercepts.
-
I add six to eleven, and get five. Why is this correct?
When it is 11 a.m., adding six hours makes it 5 p.m.
Find the vertex of the function:
y=2x2-2x+4
(1/2,7/2)
Find the point(s) of intersection for the two equations:
-x2-3x+y=0 and -12x2-3x+y=0
0,0