Question
h(t) = -16t2 + 110t + 72 The function above models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the
number 72 represent in the function?
- The initial height, in feet, of the object
- The maximum height, in feet, of the object
- The initial speed, in feet per second, of the object
- The maximum speed, in feet per second, of the object
The correct answer is: The initial height, in feet, of the object
HINT – Observe the height when t = 0
SOLUTION – The given function is h(t) = -16t2 + 110t + 72
When time, t = 0
Height , h(t) = - 16 (0) + 110 (0) + 72
= 72
When time t = 0 seconds the height of the object h = 72 feet
So, 72 feet represent initial height of the object
Hence, option A is correct
Quadratic functions are expressed in the standard form. The terms are written in standard form in decreasing order, with the constant coming in last and the phrase with the highest exponent coming first.
The use of standard form is widespread. The format that is used when performing calculations on paper. A is 1, B is 5, and C is 6 in this illustration. There are additional forms, though.
The solutions or the roots of the quadratic equation are written as products to be multiplied in a different form known as factored form. The quadratic equation is a second-order polynomial equation in one variable with the formula x.
The equation x, a x 2 + bx + c = 0 with a ≠ 0 is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation guaranteed by the fundamental algebraic theorem. The answer could be simple or complicated.
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