The graph located in the upper right corner of the image attached shows the graph of y = 3[x]+1.
In order to solve this problem we have to evaluate the function y = 3[x] + 1 with a group of values.
With x = { -3, -2, -1, 0, 1, 2, 3}:
x = -3
y = 3[-3] + 1 = -9 + 1
y = -8
x = -2
y = 3[-2] + 1 = -6 + 1
y = -5
x = -1
y = 3[-1] + 1 = -3 + 1
y = -2
x = 0
y = 3[0] + 1 = 0 + 1
y = 1
x = 1
y = 3[1] + 1 = 3 + 1
y = 4
x = 2
y = 3[2] + 1 = 6 + 1
y = 7
x = 3
y = 3[3] + 1 = 9 + 1
y = 10
x y
-3 -8
-2 -5
-1 -2
0 1
1 4
2 7
3 10
The graph that shows the function y = 3[x] + 1 is the one located in the upper right corner of the image attached.
Answer:The answer is =3,7
Step-by-step explanation:
Answer:
<h3>
a. the vertex represents a minimum point</h3><h3>
b. f(x) = (x + 5)² - 5</h3>
Step-by-step explanation:
a.
a = 1 > 0 ← that means the parabola opens up, so the vertex is minimum of the function
b.
<h3>
Answer: 180 degrees</h3>
note: it doesn't matter if its clockwise or counterclockwise when it comes to 180 degree rotations.
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Explanation:
The rule for 180 degree rotations is
(x,y) ---> (-x, -y)
So the x and y coordinates flip in sign from positive to negative, or vice versa.
Point D ' (-3, 5) rotates to D ' (3, -5) following this rule
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A further detailed break down might look like this
x = -3 becomes -x = -(-3) = 3
y = 5 becomes -y = -5
(-3, 5) ----> (3, -5)
