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Lostsunrise [7]
3 years ago
10

Find the equation of the axis of symmetry of the graph of y = (x + 3)^2 - 5

Mathematics
1 answer:
Temka [501]3 years ago
3 0
Equation of the parabola: y = ax^2 + bx + c. Find a, b, and c.
x of axis of symmetry:
x
=
−
b
2
a
=
3
-> b = -6a
Writing that the graph passing at point (1, 0) and point (4, -3):
(1) 0 = a + b + c -> c = - a - b = - a + 6a = 5a
(2) -3 = 16a + 4b + c --> -3 = 16a - 24a + 5a = -3a --> a = 1
b = -6a = -6; and c = 5a = 5
y
=
x
2
−
6
x
+
5

Check with x = 1: -> y = 1 - 6 + 5 = 0. OK
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A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of
Lana71 [14]

Answer:

f(x) = -4x + 80

Step-by-step explanation:

You are given two points,

(5, 60) and (10, 40)

in order to get the equation, let's use the form slope-intercept form

m = (y1 - y2) / (x1 - x2)

m = (60 - 40) / (5 - 10)

m = 20/-5

m = -4

Get the x intercept

y = mx + b

60 = (-4)(5) + b

b = 60+20

b = 80

so the equation is

y = -4x + 80

f(x) = -4x + 80

5 0
2 years ago
What is n/4 +n/4+n/4+n/4 equal
Kryger [21]

n/4+n/4+n/4+n/4=4n/4=n

5 0
3 years ago
Read 2 more answers
At what point will f(x) = 3^x exceed g(x) = 2x + 5 and h(x) = x^2 +4?
Alex73 [517]

Answer: B ( 2,9) .

Step-by-step explanation:

5 0
3 years ago
HELP FINAL QUSTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
soldier1979 [14.2K]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ 9=5x-3+9

First, you would need to combine the like terms.

-3+9 = 6

9=5x+6

Next, you subtract 6 on both sides.

3=5x

Finally, you divide 5 on both sides to isolate x.

3/5=x

Final answer:

x=3/5

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

5 0
3 years ago
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