Choose the function that correctly identifies the transformation of f(x) = x2 shifted three units to the left and five units up. g(x) = (x - 3)2 - 5 g(x) = (x - 3)2 + 5 g(x) = (x + 3)2 + 5 g(x) = (x + 3)2 - 5

Step-by-step explanation:

Here, the given function,

Which is the equation of parabola, having vertex (0,0)

When the function f(x) is transformed to a new function,

Then we can write the new equation of parabola,

Where h shows the horizontal shifting and k shows the vertical shifting

While a shows the compression,

Here compression is not occur.

Therefore, a = 1

Now, f(x) is shifted three unit to the left

Therefore, h = - 3 ( In left side we take negative shifting)

Again, f(x) is shifted five unit up,

k = 5

(Note: In case of downward shifting the value of k will be negative)

By putting the values of a, h and k in the above transformed equation,

We get,    

Which is the required transformed equation.

⇒ Third Option is correct.

4

step-by-step explanation:

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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