We have been given graph of a downward opening parabola with vertex at point
. We are asked to write equation of the parabola in standard form.
We know that equation of parabola in standard form is
.
We will write our equation in vertex form and then convert it into standard form.
Vertex for of parabola is
, where point (h,k) represents vertex of parabola and a represents leading coefficient.
Since our parabola is downward opening so leading coefficient will be negative.
Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:




Divide both sides by 
So our equation in vertex form would be
.
Let us convert it in standard from.



Therefore, the equation of function is standard form would be
.
You are gonna use the distributive property.
4(2.5g - 4) + 3(1.2g - 2)
So you are going to multiply 4 with everything inside the first set of parenthesis and your gonna multiply 3 with everything insides the second set of parenthesis.
4 x 2.5g - 4 x 4 + 3 x 1.2g - 3 x 2
10g - 16 + 3.6g - 6
You wanna combine like terms:
10 - 3.6g + 16 - 6
6.4g + 10
You answer is 6.4g + 10.
Hope this Helps!!
15 and one half is 31/2. 3 and seven eighths is 31/8. 31/2 also equals 124/8. Then the answer is 124/8 - 31/8 is 91/8. Hope that helped.
3\4 ! you simply convert 7.5% into a fraction. (move the decimal point to the right two times. This should give you 75. Remember to put 75 over 100.
EX: 75/100
Next you must find the greatest common fact of both numbers. In this case the number is 25.
25 goes into 75 3 times. So that is your numerator or the number on top.
25 goes into 100 4 times. This will be your denominator or the number on the bottom.
Your answer should be 3/4! Make sure to show your work! good luck!