Please help!! Without graphing, explain how you know the equation
y = - 1/2x^2 - 7 will be compressed
(compared to the parent function of y=x^2).

The absolute value of the quadratic term,   is less than 1

Step-by-step explanation:

The given function is y = (-1/2)·x² - 7

The parent function is y = x²

The vertical compression or stretching of a quadratic function is given by the value of the coefficient, a, of the quadratic term, x² of a quadratic function, a·x²

A quadratic function is vertically compressed if the coefficient, < 1.

In the given function, y = (-1/2)·x² - 7, the absolute value of the coefficient of the quadratic term, < 1, therefore, the equation, y = (-1/2)·x² - 7, will be vertically compressed compared to the parent function, y = x².

215.92 dollars is the answer

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet