The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat . Which of the following coul
d be the equation of
1 answer:
Answer:
f(x) = 3 + 2
Step-by-step explanation:
Given G(x) =
As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)
=> f(x) = a + 2
As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3
and there is no reflection, so a= 3
=> the equation of f(x) is: f(x) = 3 + 2
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Answer:
A) See attached.
B) Cheryl owes the bank more.
Step-by-step explanation:
Given account balances:
- John: -$2.75
- Cheryl: -$3.00
- Andrew: $2.75
(Andrew has as much savings in his account as the amount John owes).
<h3><u>Part A</u></h3>- Draw a straight, horizontal line with arrows on both ends.
- Place a tick in the center of the line and label it zero.
- Draw 4 evenly spaced ticks either side of the zero.
- Number the ticks to the right of the zero 1, 2, 3 and 4.
- Number the ticks to the left of the zero -1, -2, -3, and -4.
- Mark -2.75, -3 and 2.75 on the number line.
- Label the marks with John, Cheryl and Andrew.
(See attached number line).
<h3><u>Part B</u></h3>The <u>absolute value</u> of a number is its <u>positive numerical value</u>.
To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:
- John: |-2.75| = 2.75
- Cheryl: |-3.00| = 3.00
As 3.00 > 2.75, Cheryl owes the bank more.
Solution:
Given the function;
The graph of the function is;
