X^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3
x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions
Using translation concepts, it is found that the equation that represents the new function is:
The cube root parent function is given by:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
<h3>Translation:</h3>
The function goes through these following translations:
- Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence
.
- Reflected over the x-axis, that is, it is multiplied by -1, hence
.
- Translated 8 units down, that is, 8 is subtracted from the function, hence
.
Then, the equation is:
To learn more about translation concepts, you can take a look at brainly.com/question/13671886
A) 42,000m divided by 2 1/3 = 18,000m divide by 1000m to get km = 18km/hr
B) 18,000m divided by 60 to get minutes = 300m divide by 60 to get seconds = 5m/sec.
Answer:
Step-by-step explanation:
vr