You start with the basic y=x^2.
That’s the parabola with a vertex at (0,0), opening up, etc.
The transformation aspect is the “+7” portion. This “+7” shifts the entire graph of y=x^2 up by 7 units.
The vertex is now (0,7), it still opens up, etc.
It’s kind of a silly question for your teacher to ask when the graph given only goes up to 6.
Answer:
x = 5
Step-by-step explanation:
By remote exterior angle theorem:

Answer:
It has two solutions
Step-by-step explanation:
The system 
If we try to simplify the fractions applying the Lesser Common Factor
We obtain this:

From this equation, you can see a square term coming up, from where we can say that this system has two solutions
Answer: Ten more than twice a number is 34.
Step-by-step explanation:
it would be ten plus 2 times x=34, but we dont know that number, so we replace it with a variable.
2x+10=34