We have the parabola with equation y = 4x².
We have to determine the shape and direction of it.
If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.
As the value of a is positive, the parabola will open upward.
The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.
This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.
Answer:
Because a is positive the parabola opens upward.
Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.
Answer:
Part 4
4 | a. When Peter wrote: I = 275(.8)(12), he wrote the rate of 8% as 0.80 instead of 0.08.
4 | b. The correct interest is $264.
Part 5
5 | a. Isabella multiplied 3000*0.04*6 incorrectly, she probably forgot that she multiplied 3000 into the expression.
5 | b. The correct interest is $720.
When two variables have a positive linear correlation, the dependent variable increases as the independent variable increases. So when the independent variable decreases, the dependent variable decreases as well. Both variables decrease and increase simultaneously.