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1 year ago

The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?

Mathematics

1 answer:

Zigmanuir [339]1 year ago

5 0

Answer:

y = -f(x - 5)

Step-by-step explanation:

the function of the dotted graph is f(x) shifted (or translated) 5 units to the right and then reflected across the x-axis.

shifting it to the right is happening by reducing every x value by 5 (so that we get for x the functional value of x-5).

and reflecting it across the x-axis simply means to flip the sign. everything that was originally above the x-axis is now with the same distance below the x-axis (and vice versa).

therefore, the new

y = -f(x - 5)

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Given △XPS≅△DNF, find the values of x and y.

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Answer:

x = 3

y = 15

Step-by-step explanation:

If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:

XP ≅ DN

PS ≅ NF

XS ≅ DF

Given that:

XP = 4y - 3

DN = 57

NF = 51

XS = 17x + 3

DF = 54

Therefore:

XP = DN

4y - 3 = 57 (Substitution)

Add 3 to both sides

4y = 57 + 3

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Divide both sides by 4

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Also,

XS = DF

17x + 3 = 54 (substitution)

Subtract 3 from each side

17x = 54 - 3

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Divide both sides by 17

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Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

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Learn more about Inequality:

brainly.com/question/19491153

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Read 2 more answers

The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph? ​

The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?