Answer:
The points of the rotated shape are: (4, 1), (5, 3), (4, 4), (2, 1), (1, 3), (2, 4)
Step-by-step explanation:
From the part of the shape we can see and the symmetry, the missing points are:
(-2, -1)
(-1, -3)
(-2, -4)
Rotation 180° about the origin transforms the point (x, y) into (-x, -y). Applying this rule to our figure, we get:
(-4, -1) -> (4, 1)
(-5, -3) -> (5, 3)
(-4, -4) -> (4, 4)
(-2, -1) -> (2, 1)
(-1, -3) -> (1, 3)
(-2, -4) -> (2, 4)
Answer:
Step-by-step explanation:
f(x)=x^2 represents a parabola with vertex at (0, 0), that opens up.
If we translate this graph h units to the right, then g(x) will be:
g(x) = (x - h)^2.
If we translate the graph of f(x)=x^2 k units up, then g(x) will be:
f(x)=x^2 + k
Next time, please indicate whether you are shifting the original graph to the right or to the left, and/or up or down.
Answer:
2.6
Step-by-step explanation:
Let us assume that the unit of measurement is centimetre (cm)
To obtain the value of A, do the following:
From the diagram above, we can say that the scale is 5 cm to 1 unit since there are 5 lines before a number.
Next, we shall determine the value of 1 cm.
5 cm = 1 unit
Therefore,
1 cm = 1/5 = 0.2 unit
This means that 1 small line is equivalent to 0.2 unit.
Now we shall determine A as follow:
A is exactly 3 lines (3 cm) after number 2.
1 cm = 0.2 unit
3 cm = 3 x 0.2 = 0.6 unit
Now, add 0.6 to 2 to obtain the value of A.
A = 2 + 0.6
A = 2.6
Therefore, A correspond to 2.6
Answer:
x²+2x+3....
Step-by-step explanation:
The given expression is:
5x3+10x2+15x/5x
To simplify this expression take out the common of the numerator:
5x is common in all three terms of the numerator:
Like,
5x(x²+2x+3)/5x
Now the value of the common and the denominator is same. Therefore 5x will be cancel out by 5x
Then the remaining term is:
= x²+2x+3
Thus the answer is x²+2x+3....
