Well... given the cards are the same price and if we are ignoring tax...
15=2c+8
7=2c
3.5=c
He can spend $3.50 fo each
Using translation concepts, it is found that the new function was reflected over the x-axis and vertically compressed by a factor of 3.
<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 in it's definition.
The functions are given as follows:
- Parent:
.
- Translated:
.
The translated function was multiplied by -1/3, hence it was reflected over the x-axis(multiplication by negative number) and vertically compressed by a factor of 3(fraction of 1/3).
More can be learned about translation concepts at brainly.com/question/4521517
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The answer will be 7x^2 + 5x