Also these 2 :) determining the vertex and shifts/translations
1 answer:
Answer:
The answer to your question is below
Step-by-step explanation:
A) f(x) = x² + 4x + 1
Find the vertex
y = x² + 4x + 1
-Subtract 1 in both sides
y - 1 = x² + 4x
-Complete the perfect trinomial square in the right side
y - 1 + (2)² = x² + 4x + (2)²
-Simplify
y - 1 + 4 = (x + 2)²
y + 3 = (x + 2)²
-Find the vertex
V = (-2, -3)
B)
f(x) = x²
g(x) = (x - 4)² - 2 See the picture below
Shifted right 4 units
Shifted down 2 units
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This one is my real answer 5{10+3]=40 The other one you can use for extra this one 5{10+25]=35
Answer:
Here, b represents one loaf of bread and m represents the one gallon of milk.
As per the statement:
Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12.
⇒
It is also given that the next week, Sarah bought 2 loaves of bread and 3 gallons of milk for $13.50.
⇒
Then; system of equation :
.....[1]
.....[2]
Solve for b and m using above system of equations.
Multiply equation [2] by 2 we get;
.....[3]
Subtract equation [1] from [3] we get;
Combine like terms;
Divide both sides by 5 we get;
m = $3
Substitute the value of m in equation [1] we get;
Subtract 3 from both sides we get;
Divide both sides by 4 we get;
b = $2.25
Therefore, cost of one loaf of bread (b) and one gallon of milk (m) are:
$2.25 ad $3