Answer: y = -5x² - 10x + 2
Step-by-step explanation:
<u>Given quadratic function</u>
y = -5 (x + 1)² + 7
<u>Given requirement</u>
Quadratic Standard Form: y = ax² + bx + c
<u>Simplify the exponents</u>
y = -5 (x + 1) (x + 1) + 7
y = -5 (x² + x + x + 1) + 7
y = -5 (x² + 2x + 1) + 7
<u>Expand the parenthesis by distributive property</u>
y = (-5) · x² + (-5) · 2x + (-5) · 1 + 7
y = -5x² + (-10x) + (-5) + 7
y = -5x² - 10x - 5 + 7
<u>Combine like terms</u>
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<u>Answer:</u> The slope of the line formed by these two points is
<u>Step-by-step explanation:</u>
To calculate the slope, we use the formula:
For the coordinates given:
Putting values in above equation, we get:
Hence, the slope of the line formed from these two coordinates is
this is because when 40 is broken down into two numbers (one divisible to get out of the square root, and one not) you get 25 + 15 under the square root. we know that the square root of 25 is 5, so we can put 5 outside the root and leave 15 inside.
-------------- try the next problem, and if you don't understand, please reply back.
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