Answer:
D (the last one)
Step-by-step explanation:
-x would equal 0 on the x axis and -4 would be plotted at -4 on the y axis
Answer:
The answer to your question is:
(x - 5)² + (y + 4)² = 10² or (x - 5)² + (y + 4)² = 100
Step-by-step explanation:
Data
Center (5, - 4)
Point ( -3 , 2)
Formula
d = √ ((x2- x1)² + (y2 - y1)²)
(x - h)² + (y - k)² = r²
Process
Radius
d = √ ((-3 - 5)² + (2 + 4)²)
d = √ ((-8)² + (6)²)
d = √ 64 + 36
d = √100
d = 10 units
Circle
(x - 5)² + (y + 4)² = 10²
(x - 5)² + (y + 4)² = 100
The answer should be the 3rd one
If we set the equation equal to 0, we can factor it to find its roots:
x² + 4x + 4 = 0
(x + 2)(x + 2) = 0
x = -2
This graph has one root, a double root, at -2. This means that a single point, which must be the vertex of the parabola, touches the x-axis at (-2, 0)
You would plug in 6 where the x is so it would be -4 times 2 plus 5(6)