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Answer:
y =20
Step-by-step explanation:
you have to get the y by itself so what you do on one side you do to the other. subtract 12 on both sides and you get y=20
Answer:
D) ![y = 10 * 4^{x}](https://tex.z-dn.net/?f=y%20%3D%2010%20%2A%204%5E%7Bx%7D)
Step-by-step explanation:
Replace each function with x = 0
A) ![y = 1*4^{x} \\y = 1*4^{0} \\y = 1](https://tex.z-dn.net/?f=y%20%3D%201%2A4%5E%7Bx%7D%20%5C%5Cy%20%3D%201%2A4%5E%7B0%7D%20%5C%5Cy%20%3D%201)
B) ![y = 3*10^{x} \\y= 3* 10^{0} \\y = 3 \\](https://tex.z-dn.net/?f=y%20%3D%203%2A10%5E%7Bx%7D%20%5C%5Cy%3D%203%2A%2010%5E%7B0%7D%20%5C%5Cy%20%3D%203%20%5C%5C)
C) ![y = 2*4^{x} \\y = 2*4^{0} \\y = 2](https://tex.z-dn.net/?f=y%20%3D%202%2A4%5E%7Bx%7D%20%5C%5Cy%20%3D%202%2A4%5E%7B0%7D%20%5C%5Cy%20%3D%202)
D) ![y = 10*4^{x} \\y= 10*4^{0} \\y = 10](https://tex.z-dn.net/?f=y%20%3D%2010%2A4%5E%7Bx%7D%20%5C%5Cy%3D%2010%2A4%5E%7B0%7D%20%5C%5Cy%20%3D%2010)
If you check the graph with x = 0, the value of y is between 8 and 12 so the only probably answer acoording to the alternatives is D) which gives y = 10 when x = 0
The equation of a parabola with a vertex at (h,k) is
f(x)=a(x-h)+k
where a is a constant not equal to zero.
So for (h,k)=(-2,0), the general equation is
y=f(x)=a(x--2)^2+0,
y=a(x+2)^2, or
If a=1 and expand,
y=x^2+4x+4