Question

Please help!!

Answer 1

Answer:

The absolute value of the quadratic term,  $\left | -\dfrac{1}{2} \right |$ 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, $\left | a \right |$ < 1.

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