Answer:
Horizontal Compression, Left 1, Down 3
A is correct
Step-by-step explanation:
Given: ![f(x)=\sqrt{3x+3}-3](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7B3x%2B3%7D-3)
The parent function of given function is square root function.
![f(x)=\sqrt{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7Bx%7D)
Shift 1 unit left
![f(x)=\sqrt{x+1}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7Bx%2B1%7D)
Horizontal compression
![f(x)=\sqrt{3(x+1)}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7B3%28x%2B1%29%7D)
Vertical down by 3 unit
![f(x)=\sqrt{3x+3}-3](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7B3x%2B3%7D-3)
![\sqrt{x}\rightarrow \sqrt{3x+3}-3](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%5Crightarrow%20%5Csqrt%7B3x%2B3%7D-3)
After above translation.
Hence, The function obtain from square root function after horizontal compression, left 1 and down 3
Answer:
What is the question?
Step-by-step explanation:
Please give me brainliest :)
P.S: Please make sure to clarify your questions. If you don't clarify, you would not get the best answer.
A function is described as a quadratic function if the highest power of the variables of the function is 2.
For
![8 - 5x = 4(3x - 1)=12x-4 \\ \\ 12x+5x-8-4=0 \\ \\ 17x-12=0](https://tex.z-dn.net/?f=8%20-%205x%20%3D%204%283x%20-%201%29%3D12x-4%20%5C%5C%20%20%5C%5C%2012x%2B5x-8-4%3D0%20%5C%5C%20%20%5C%5C%2017x-12%3D0)
The highest power of x is 1, hence, the function is not a quadratic function.
For
![(4a + 2)(2a - 1) + 1 = 0 \\ \\ 8a^2-4a+4a-2+1=0 \\ \\ 8a^2-1=0](https://tex.z-dn.net/?f=%284a%20%2B%202%29%282a%20-%201%29%20%2B%201%20%3D%200%20%5C%5C%20%20%5C%5C%208a%5E2-4a%2B4a-2%2B1%3D0%20%5C%5C%20%20%5C%5C%208a%5E2-1%3D0)
The highest power of a is 2, hence, the function is a quadratic function.
For
![2y + 2(3y - 5) = 0 \\ \\ 2y+6y-10=0 \\ \\ 8y-10=0](https://tex.z-dn.net/?f=2y%20%2B%202%283y%20-%205%29%20%3D%200%20%5C%5C%20%20%5C%5C%202y%2B6y-10%3D0%20%5C%5C%20%20%5C%5C%208y-10%3D0)
The highest power of y is 1, hence, the function is not a quadratic function.
For
![2b(b - 7) + b = 0 \\ \\ 2b^2-14b+b=0 \\ \\ 2b^2-13b=0](https://tex.z-dn.net/?f=2b%28b%20-%207%29%20%2B%20b%20%3D%200%20%5C%5C%20%20%5C%5C%202b%5E2-14b%2Bb%3D0%20%5C%5C%20%20%5C%5C%202b%5E2-13b%3D0)
The highest power of b is 2, hence, the function is a quadratic function.
Therefore, the quadratic functions are (4a + 2)(2a - 1) + 1 = 0 and <span>2b(b - 7) + b = 0</span>
Answer:
Option (A) and Option (B)
Step-by-step explanation:
Trinomial is a polynomial having three terms.
Option A
![\frac{5}{7}y^3+5y^2+y](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B7%7Dy%5E3%2B5y%5E2%2By)
Number of terms = 3
So it's a trinomial.
Option (B)
x⁴ + x² + 1
Number of terms = 3
It's a trinomial.
Option C
6x² + 0.5y²
Number of terms = 2
It's a binomial.
Option D
x² + 3
Number of terms = 2
It's a binomial.
Option E
x¹¹
Number of terms = 1
Monomial
Option F
8x
Monomial.
Therefore, Option (A) and Option (B) are the correct options.