The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept

- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵ 
∴ 
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
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Answer:
Order Data (least to greatest): 35,40,42,46,47,52
Mean: 43.66
MAD:4.66
Could not figure out Mean of Differences sorry!
Step-by-step explanation:
To find the mean you add all of the numbers and divide by the amount.
To find MAD find the sum of the data values, and divide the sum by the number of data values.
Francisco's wrapping paper measurements
13 2/3×2=27 1/3
17×2=34
Monica's wrapping paper measurements
basically Monica's measurements are 2× more than Francisco's, so if 2 of the sides equal 34 inches each the other 2 sides are 27 1/3 each
Let x be that number.
Let's create a system using what we have:
x^2 = 1/4 (1)
x+x = 1 (2)
In the equation (1):
x^2 = 1/4
So x = √1/4 = 1/2 OR x = -√1/4 = -1/2
Since the answer in the second equation is positive, so the acceptable answer is x = 1/2.
So the number that multiplies to be 1/4 but adds to be 1 is 1/2.
You can re-check your answer (very important):
x^2 = (1/2)^2 = 1/4
x+x = 1/2 + 1/2 = 1
The answer has been approved.
Hope this Helps! :)