40points!!!! Describe how the graph of the function is related to the graph of f(x) + x^2

Mathematics

2 answers:

muminat3 years ago

6 0

Answer:

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.

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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.

svetoff [14.1K]3 years ago

6 0

Answer:

f(x) = x²

g(x) = x² - 7

g(x) = f(x) - 7

So g is vertical translation of 7 units below f

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Nvm i have a new question i need to know if the answer is correct

insens350 [35]

multiply the numbers.

4 x 6 + y = 20

move constant (24) to the right side and change its sign.

24 + y = 20

calculate the difference and you get the answer.

y = 20 - 24

y = -4

So the value of y is -4.

5 0

3 years ago

Please help me I really need help

charle [14.2K]

Answer:

Step-by-step explanation:

A calculator is your friend for such problems.

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Evaluating these by hand, the Order of Operations applies. First you do what's in parentheses, then you do multiplication, then addition/subtraction.

1. (3/4)·(12·4 -16) -20 = (3/4)(48 -16) -20 = (3/4)·32 -20 = 24 -20 = 4

2. (5/9)·(12·6 -42 +15) = (5/9)·(72 -42 +15) = (5/9)·(30 +15) = (5/9)·45 = 25

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Of course, the Order of Operations applies within each level of parentheses.

Adding the opposite of a number is the same as subtraction. Likewise, subtracting the opposite of a number is the same as adding the number. The usual associative and commutative properties of addition and multiplication apply. Among other things, that means you can compute the product of an integer and a fraction in any convenient way:

(3/4)·32 = 3·(32/4) = 3·8 = 24

(5/9)·45 = 5·(45/9) = 5·5 = 25