Answer:
The Answer is B
Ive hade this test before
Answer:
A
Step-by-step explanation:
Consider the parent function
The graph of this function is represented as red graph in attached diagram.
Now consider the function 
Remind main translations of the graph of the function
- translation a units to the right;
- translation a units to the left;
- translation a units up;
- translation a units down.
In your case, the graph of the function
is translated graph of the function
2 units to the left (blue graph). So, correct answer is option A.
Answer:
(- 7, - 4 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the turning point is
x = - 
y = x² + 14x + 45 ← is in standard form
with a = 1, b = 14 , then
x = -
= - 7
Substitute x = - 7 into the equation and evaluate for y
y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4
coordinates of turning point = (- 7, - 4 )
Answer:
see the explanation
Step-by-step explanation:
we know that
The y-intercept is the value of the function when the value of x is equal to zero. Also is called the initial value of the function
I will analyze two cases
Part 1) we have

so
For x=0
substitute

therefore
The y-intercept is the point (0,0)
Part 2) we have

so
For x=0
substitute

therefore
The y-intercept is the point (0,-1)
Answer: Approximately 7.4162
Step-by-step explanation: