How do you graph and translate a shape
1 answer:
See in the explanation
<h2>Explanation:</h2>Translating a shape is part of that we called Rigid Transformations. This is called like this because the basic form of the shape doesn't change. So this only changes the position of the chape in the coordinate plane. In mathematics, we have the following rigid transformations:
- Horizontal shifts
- Vertical shifts
- Reflections
Horizontal and vertical shifts are part of translation. So the question is <em>How do we graph and translate a shape?</em>
To do so, you would need:
- A coordinate plane.
- An original shape
- Set the original shape in the coordinate plane.
- A rule
- The translated shape
For example, the triangle below ABC is translated to form the triangle DEF. Here, we have a coordinate plana and an original shape, which is ΔABC. So this original shape has three vertices with coordinates:
A(-4,0)
B(-2, 0)
C(-2, 4)
The rule is <em>to translate the triangle 6 units to the right and 1 unit upward. </em>So we get the translated shape ΔDEF with vertices:
D(2,1)
E(4, 1)
F(4, 5)
<h2>Learn more:</h2>Translation: brainly.com/question/12534603
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Answer:
Step-by-step explanation:
Given:
Focus point = (-5, -4)
Vertex point = (-5, -3)
We need to find the equation for the parabola.
Solution:
Since the x-coordinates of the vertex and focus are the same,
so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.
The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.
Substitute y = -4 and k = -3.
So the standard form of the parabola is written as.
Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.
So the standard form of the parabola is written as.
Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)
Answer:
There was 32.5mm of rainfall on the seventh day.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values of a data-set divided by the number of values in the data-set.
The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.
This means that during the week(7 days), the total amount of rain was of:
How much rainfall on the seventh day ?
This is x. We have that:
There was 32.5mm of rainfall on the seventh day.
I attached a photo where I graphed these vertices in order to count the length and width. After counting the number of units between R & U I got a width of 4. And then I counted the units between S & T to get a width of 6. Using the formula to calculate the perimeter of a rectangle, P = 2(l+w). The perimeter is 20.
First I added the length plus the width, 4 + 6 and got 10. Then I did 10 x 2 which is how I got a perimeter of 20.
First I added the length plus the width, 4 + 6 and got 10. Then I did 10 x 2 which is how I got a perimeter of 20.