Which equation represents a linear function with a slope of 12 and a y-intercept of -15? A. Y=−15x+12 B. Y=−x2+15 C. Y=x2−15 D.
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To determine the maximum value of a quadratic function opening downwards, we are going to find the vertex; then the y-value of the vertex will be our maximum.
To find the vertex (h,k) (where h=x-coordinate and k=y-coordinate) of a quadratic function of the form
we'll use the vertex formula: 
, and then we are going to replace that value in our original function to find k.
So, in our function
, 
and 
.
Lets replace those values in our vertex formula:
Now that we know the x-coordinate of our vertex, lets replace it in the original function, to get the y-coordinate:
We just prove that the vertex of
is (2,1), and for the graph we can tell that the vertex of 
is (-2,4). The only thing left is compare their y-coordinates to determine w<span>hich one has the greater maximum value. Since 4>1, we can conclude that </span> has the greater maximum.
To find the vertex (h,k) (where h=x-coordinate and k=y-coordinate) of a quadratic function of the form
So, in our function
Lets replace those values in our vertex formula:
Now that we know the x-coordinate of our vertex, lets replace it in the original function, to get the y-coordinate:
We just prove that the vertex of
Solution:
we are given wit a number 440.
we have been asked to write Write the value of the hundreds and the value of the tens in the number 440.
Here we can write
So value of the 100th place is 400.
Value of 10th place is 40
Here
Hence the value of the number at 100th place is 10 times more than the value of number at 10th place.