Answer:
–7 is not the arithmetic square root of 49 only in case we are taking it for natural number.
Step-by-step explanation:
- The square root of x is that number which on squaring gives the result as x.
- For example, the square root of 4 is +2 or -2. Because on squaring +2 or -2 we get the number 4.
- Similarly for the case of 49, the square root might be both +7 or -7.
- But if we are taking it as a natural number then -7 is not valid. Like for length, quantity or other sort of things -7 is not the arithmetic square root of 49.
For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
Learn more about translations
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Answer: y=-5/2x-4
Step-by-step explanation: Use the slope formula and slope-intercept form y=mx+b to find the equation.
Hope this helps you out! ☺
That’s the equation for pi, but the simplified fraction is 22/3 (please mark brainliest)