Answer:
Explanation and problem 1 solved below.
Step-by-step explanation:
The quadrants are numbered this way:
Quadrant 1: upper right
Quadrant 2: upper left
Quadrant 3: lower left
Quadrant 4: lower right
Signs of coordinates in the quadrants:
x-coordinate is positive in Q1 and Q4
x-coordinate is negative in Q2 and Q3
y-coordinate is positive in Q1 and Q2
y-coordinate is negative in Q3 and Q4
1. (-1, 5)
x is negative, so it is Q2 or Q3
y is positive, so it is Q1 or Q2
The quadrant in common is Quadrant 2
Answer: quadrant 2
Step-by-step explanation:
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Answer:
y =
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m =
, thus
y =
x + c ← is the partial equation
To find c substitute (- 2, 3) into the partial equation
3 = -
+ c ⇒ c = 3 +
= 
y =
x +
← equation of line
f(x - n) - shift the graph n units right
f(x + n) - shift the graph n units left
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up
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y = 2(x - 15)² + 3
y = 2(x -11)² + 3 = 2(x - 15 + 4)² + 3
Answer: shift the graph of y = 2(x - 15)² + 3 four units left.