Answer:
B) The base graph has been reflected about the y-axis
Step-by-step explanation:
We are given the function,
.
Now, as we know,
The new function after transformation is
.
<em>As, the function f(x) is changing to g(x) = f(-x)</em> and from the graph below, we see that,
The base function is reflected across y-axis.
Hence, option B is correct.
Answer:
3
Step-by-step explanation:
Triangle ABC is translated 3 units right and 2 units up
by looking at point A (-4,5) which is translated to A'(-1,7)
we can tell by looking at the points that -4 is shifted by 3 units to the right ti reach -1 and 5 is shifted upwards by 2 units to reach 7
The point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-4, -1) and (5, 7). Substitute:
![m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{7+1}{5+4}=\dfrac{8}{9}\\\\\boxed{y-7=\dfrac{8}{9}(x-5)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B7-%28-1%29%7D%7B5-%28-4%29%7D%3D%5Cdfrac%7B7%2B1%7D%7B5%2B4%7D%3D%5Cdfrac%7B8%7D%7B9%7D%5C%5C%5C%5C%5Cboxed%7By-7%3D%5Cdfrac%7B8%7D%7B9%7D%28x-5%29%7D)
10 ! (To find the median add the two middle numbers 7,13 = 20 divide 20 by two and you get 10 as your median. Mode means the most common number which means the mode is also 10)