Answer:
17,576,000
Step-by-step explanation:
3 digits followed by 3 letters
Draw an underline character for each position with multiplication signs in between them.
_ × _ × _ × _ × _ × _
Now fill in each blank with the number of characters that can be used in that position. The first three blanks are used with digits, 0 through 9. There are 10 digits 0 through 9.
10 × 10 × 10 × _ × _ × _
For the last three blanks, each one gets a letter from A through Z. There are 26 letters to choose from fore each of the last three blanks.
10 × 10 × 10 × 26 × 26 × 26 = 17,576,000
Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
- It was vertically compressed by a factor of 3, due to the multiplication by 3.
- It was shifted up 1 unit, due to the addition of 1.
In the graph at the end of the answer, both functions are shown, with <u>f(x) in red and g(x) in blue</u>.
More can be learned about translation concepts at brainly.com/question/28393734
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Answer:
343
Step-by-step explanation: