Step-by-step explanation
Since we have the given quadratic function:
a)
Since the value of the squared term coefficient is negative, thus the graph opens up.
b)
Plugging in the x_v value into the equation:
Computing the powers:
Multiplying numbers:
Adding numbers:
c) For a quadratic equation of the form ax^2 + bx + c = 0 the discriminant is b^2 -4ac
Computing the powers and multiplying numbers:
Since the discriminant cannot be negative, there are not x-intercepts.
d) Identifying y-intercepts:
The y-intercept is at (0,-8)