<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span>
y = 2x<span> 2</span><span> + 8 x + 5 </span>
Complete square and determine vertex.
y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>
= 2(x + 2)<span> 2</span><span> - 3 </span>
<span>vertex at (- 2 , - 3) </span>
If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .
<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
Answer:
The answer is 5
Step-by-step explanation:
I got it from goggle....your welcome
Answer:
9^28
Step-by-step explanation:
It's 9^ 28
remember when we are raising exponents to a power we are multiplying the exponent
Answer:
If a function is restricted, it still has an end behavior!!!
Step-by-step explanation:
Let's say we have f(x)=(x-4)^2, x≥4.
If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.
This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.
However, just because this function is restricted doesn't mean it doesn't have an end behavior!
As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:
x --> ∞, f(x) --> ∞
There is no end behavior for the left side because that's where the graph is restricted.
Hope this helps!