Answer:
D
Step-by-step explanation:
If we look at the right side of the equation we see that the y-intercept is 2, so we will place a point on (0,2).
Next, we look to see if the slope of the graph if positive or negetive, and to see what is the slope (2x).
Finally, we look at the inequality if it is greater than (>), less than (<), greater than or equal to (_>), or less than or equal to (<_).
*Note the following:
if < then the line is dotted and the shading will be under the line.
if > then the line is dotted and the shading will be above the line.
if <_ then the line is solid and the shading will be under the line.
if _> then the line is solid and the shading will be above the line.*
It is a lot of information if you look at it, but with practice it can be made easier.
Answer: 13 13/15
Step-by-step explanation:
A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2
"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)
Source:
http://www.1728.org/quadr3.htm
