The answer to this math equation would be 8x^2+5x-33
<h2>
Answer</h2>
After the dilation
around the center of dilation (2, -2), our triangle will have coordinates:



<h2>Explanation</h2>
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor
. Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:













Now we can finally draw our triangle:
Answer:
The answers are, "John saves $35 dollars the first week" and "John is saving at a faster rate than Barb"
Answer: 17-3.99a
Step-by-step explanation:
Remove parentheses.
17- 0.07a- 3.92a17−0.07a− 3.92a
Collect like terms.
17+(−0.07a−3.92a)
Simplify.
17−3.99a
Answer:
Two different transformations happen. Rotation/Reflection and translation (I say rotation/reflection because they can both put the parabola where it is after being transformed)
(Rotation- 180 degrees)
(Reflection across its it's starting point)
Translation- pushed up 4 points from negative 4 to 0 on the y-axis
When you put the parent function into a graph it is positive so the u is opening upward and starts at -4. Both sides of the u go through the points (0,0)and (4,0).
But in the transformed function is negative so the u opens downward. The sides going through the points (0,-4) and (4,-4)
I hope this makes sense