Answer:
The parabola is translated down 2 units.
Step-by-step explanation:
You have the parabola f(x) = 2x² – 5x + 3
To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:
f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1 <u><em>Expresion A</em></u>
The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.
- If p> 0 and q> 0, the parabola shifts p units to the right and q units up.
- If p> 0 and q <0, the parabola shifts p units to the right and q units down.
- If p <0 and q> 0, the parabola shifts p units to the left and q units up.
- If p <0 and q <0, the parabola shifts p units to the left and q units down.
In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.
This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.
In conclusion, <u><em>the parabola is translated down 2 units.</em></u>
The answer would be c because if you see closely the function is -1 and 4 March determining the perspectives and how the procedure goes
Answer:
x = 55
y = 70
Step-by-step explanation:
Since all three sides are equal, as indicated by the lines on the sides, all three angles are equal
Since a triangle is equal to 180 degrees
180/3 = 60
Each angle is 60 degrees
x+5 = 60
Subtract 5 from each side
x +5-5 = 60-5
x = 55
y-10= 60
y-10+10 = 60+10
y= 70
Add ( ) around part of the equation making sure there is a number in foront of it.
ex.) f(x) = 4(3x+13) -21