Answer:
f(x)=a(x - h)2 + k
Much like a linear function, k works like b in the slope-intercept formula. Like where add or subtract b would determine where the line crosses, in the linear, k determines the vertex of the parabola. If you're going to go up 2, then you need to add 2.
The h determines the movement horizontally. what you put in h determines if it moves left or right. To adjust this, you need to find the number to make the parentheses equal 0 when x equals -2 (because moving the vertex point to the left means subtraction/negatives):
x - h = 0
-2 - h = 0
-h = 2
h = -2
So the function ends up looking like:
f(x)=a(x - (-2))2 + 2
Subtracting a negative cancels the signs out to make a positive:
f(x)=a(x + 2)2 + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) x² - 8x + 5 = 0
2) No subtract 5 from both sides
x² - 8x + 5 - 5 = 0 - 5
x² - 8x = -5
3) Now find (8/2) = 4. Add 4² = 16 to both sides
x² - 8x + 16 = -5 + 16
x² - 8x + 16 = 11
4) (x - 4)² = 11
5) Take square root both sides
x - 4 = ±√11
x = 4 ±√11
Answer:
Paco contributed = 360pesos
Juan contributed = 504pesos
Question:
Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.
Step-by-step explanation:
Let the common factor between each brother = p
Paco gave = 5×common factor = 5p
Juan gave = 7×common factor = 7p
Total money contributed by both brothers = 864
Total money contributed by both brothers = 5p + 7p
5p + 7p = 864
12p = 864
p = 864/12
p = 72
Paco contributed = 5p = 5×72 = 360pesos
Juan contributed = 7p = 7×72 = 504pesos
1, 3, and 5 because you can multiply all these numbers to get 15
Answer: -13.3
Step-by-step explanation:
