The answer to your question is: .75 = 3x - .03
How to solve it:
x = the cost of a pack of gum twenty years ago
.75 = 3x - .03
+ .03 + .03
.78 = 3x
/ 3 / 3
.26 = x
If a pack of gum now costs 75 cents, which is 3 cents less than three times what a pack would have cost 20 years ago, then a pack of gum would have cost 26 cents.
Find the vertex form.
y=(x+2)^2−11
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Answer: 18/31
It is already the simplest form, so it cannot be simplified.
You need 3 points to graph a quadratic function.
It is advisable that one of these points be the vertex, because the line of symmetry passes through it
Next, you need to find two other points that lie on the curve, replacing an x-value into the function and calculating the y-value. It is easier if these two points are at the same distance from the line of symmetry.
For example, if the quadratic function is y = (x - 4)² + 3, the vertex is located at (4, 3). Replacing with x = 3 into the equation, we get:
y = (3 - 4)² + 3
y = 1 + 3
y = 4
Replacing with x = 5 into the equation, we get:
y = (5 - 4)² + 3
y = 1 + 3
y = 4
Now, we need to connect the points (3, 4), (4, 3), and (5, 4) with a U shape, as follows: