Answer: y= -1/2x + 3.5
Step-by-step explanation:
y=mx+b
Y-3= -1/2(x-1)
y-3= -1/2x+1/2
+3 +3
y= -1/2x + 3.5
Problem
Solution
For this case we know that the vertex is given by (3,6) and the genera equation for a parabola is given by:
y= a(x-h)^2 +k
Where h = 3, k=6 and replacing we have:
y= a(x-3)^2 +6
And we can find the value of a with the point given x= 4, y=4
4= a(4-3)^2 +6
4= a +6
a= 4-6=-2
And the correct equation would be:
d. y= -2(x-3)^2 +6
Answer:
A (the marked answer is correct)
Step-by-step explanation:
The result of a single refection will look like the reverse of the letter Z, so the only possibilities are choices A and C.
Since the horizontal lines are still horizontal, the reflection must be across a horizontal or vertical line. If the reflection is across a horizontal line, the image will be vertically aligned with the preimage. If the reflection is across a vertical line, the image will be horizontally aligned with the preimage.
Choice A is horizontally aligned with the preimage. Choice C is not aligned either way. (It is a "glide reflection.")
Image A is the result of reflection across the y-axis.
Answer:
x+27
Step-by-step explanation:
2(2x+11)-(-5+3x)
Distribute
4x +22 +5-3x
Combine like terms
x+27
N/5 + 9 = 22
5(n/5 + 9 = 22)
n + 45 = 110
n = 65
