Find 3/7 • 9/10 as a fraction
1 answer:
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Answer:
x = 3, -2
Step-by-step explanation:
To help us factor, we can split the middle term up into the sum of the terms -3x and 2x:
From there, we can factor out an x from the first two term and a 2 from the last two to obtain the equation
Factoring out an (x - 3) from each term gives us the equation
At this point, we can divide by either x - 3 or x + 2 to obtain the two equations
and
Solving both for x gives us the solutions x = 3 and x = -2. We can verify these by substituting them back into the original equation:
Hello!
Recall that the transformations form of a parabola is:
f(x) = ±a(b(x-h)) + k where:
a = vertical stretch/compression
b = horizontal stretch/compression
h = horizontal shift, x-coordinate of vertex
k = vertical shift, y-coordinate of vertex
In this instance, the parent function is f(x) = 3x^2. There is a vertical stretch of 3.
However, there is a point (7, -2) that needs to be included. Substitute these values into the transformation formula:
h = 7
k = -2
f(x) = 3(x - 7)² - 2 is the equation with (7, -2) as the vertex.