Question

please help for 15 points

Answer 1

Hey There!!


Here, we can easily see that the function must be of a negative modulus form.

That is, 
y = - |x+a| + b 

where we will determine a and b.


Now, we can proceed by two methods:

Method 1:


Actual modulus graph has its vertex at the X-axis. But here, the vertex is 5 units above. This means that the entire graph has been shifted 5 units upwards.

This means, whatever value of x we put, the value of y must be 5 more than a normal modulus graph.
So, we have y = - |x + a| + 5


Now, we see that the graph is also shifted by 2 units right. 
So we have y = - |x - 2| + 5


Method 2:

We know that:
y = -|x-a| + b

Now, we will put some values from graph in the equation.


Minimum value of Mod function is always 0. So, minimum value of |x+a| is 0.
We can see that peak value of graph is 5. So, equation must be:

y = -|x+a| + 5


Now, we can see that the peak point (2,5) lies on the graph.
Let us put it in the equation:

5 = -|2+a| + 5

So, |2+a| = 0

So, a = -2

Thus we have your answer:

Option (B) y = - |x - 2| + 5



Hope it helps
Purva
Brainly Community

Answer 2

Answer:

B is your answer

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