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ruslelena [56]
2 years ago
7

What is the equation of the graph below?

Mathematics
1 answer:
oee [108]2 years ago
8 0

Answer:

B) y=-(x-3)^{2}+2

Step-by-step explanation:

We are given,

The graph of the parabola opens downwards.

This means that the leading co-efficient of the function will be negative.

So, options C and D are not possible.

Moreover, it is given that the graph cuts x-axis near 1\frac{1}{2} i.e. \frac{3}{2} = 1.5 and 4\frac{1}{2} i.e. \frac{9}{2} = 4.5.

i.e. At y=0, the value of x is near \frac{3}{2} and \frac{9}{2}.

A. So, in y=-(x+2)^{2}+2, we put y =0.

i.e. (x+2)^{2}=2

i.e. x=-2\pm \sqrt{2}

i.e. x = 0.68 and x = 3.41

We see that this does not crosses the x-axis at the given points.

So, option A is wrong.

B. Also, in y=-(x-3)^{2}+2, we put y =0.

i.e. (x-3)^{2}=2

i.e. x=3\pm \sqrt{2}

i.e. x = 1.68 and x = 4.41.

Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.

Hence, the equation of the given graph is y=-(x-3)^{2}+2.

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Remi invests £600 for 5 years in a savings account.
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Answer:

225600

Step-by-step explanation:

Simple interest formula:

A = P(1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

So...

A = 600(1 +(75 x 5) )

75 x 5 = 375

1 + 375 = 376

600 x 376 = 225600

A = 225600

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3 years ago
Whats the extreme value?y=3(x+5)^(2)-4
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-4

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Derivate the function

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The extrme value of y is reached in -5

y = 3(-5+5)²-4= -4

6 0
2 years ago
If zach runs 6 miles, 5 days a week. How many miles does he run in 2 weeks,
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