The transformations would be rotation, reflection and translation.
Answer:
<u>The correct answer is D. -5 +/- i√2</u>
Step-by-step explanation:
Let's solve for x, the equation given to us, this way, using the quadratic formula:
x = (- b +/- √b² - 4ac)/2a
Replacing with the real values, we have:
x = (-10 +/- √10² - 4 * 1 * 27)/2
x = (-10 +/- √100 -108)/2
x = (-10 +/- √-8)/2
x = (-10 +/- √-1 * 4 * 2)/2 Let's recall that √-1 = i
x = (-10 +/- 2i√2)/2
x = 2 (-5 +/- i√2)/2 (Dividing by 2 both the numerator and the denominator)
<u>x₁ = -5 + i√2</u>
<u>x₂ = -5 - i√2</u>
<u>The correct answer is D. -5 +/- i√2</u>
Answer:
Option A.
Step-by-step explanation:
Note: The given function should be 
instead of 
.
Consider the given function is
We need to find the function which represents a reflection of f(x) across the x-axis.
If a function f(x) is reflected across the x-axis, then the new function is
Using this rule, we get
![[\because f(x)=\dfrac{2}{5}(10)^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B2%7D%7B5%7D%2810%29%5Ex%5D)
Therefore, the correct option is A.
Answer: B- reflect over the horizontal axis, and then translate the graph up 3 units.
Step-by-step explanation:
The product of (x1)^2 is 20
