Describe how the graph of the function is related to the graph of f(x) + x^2

g(x) = x2 – 7

  g(x) is f(x) translated downward by 7 units

Step-by-step explanation:

Adding a value to a function translates its graph upward by that value. Here, -7 is added, so the graph is translated downward by 7 units.

_____

This should be no mystery. When (x, y) is plotted on a graph, the y-coordinate specifies the vertical distance from the x-axis. Then (x, y-7) would specify a vertical distance that is 7 units less. That is, the point would be 7 units lower than the point (x, y) on the graph.

f(x) = x²

g(x) = x² - 7

g(x) = f(x) - 7

So g is vertical translation of 7 units below f

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

21

step-by-step explanation: