Answer:
a) Parabola opens up
b) 6
c) -3/2 and -2
Step-by-step explanation:
a) The general form of a parabolic graph is;
y = ax^2 + bx + c
if a is positive, it faces up, if negative, it opens down
Since a = 2 here, it is positive and thus the parabola faces or opens up
b) The y-intercept is simply the c term
the value here is 6
The y intercept is obtained when the x value is zero
So by simply setting the x value to zero, we can easily get the y value since x is zero at that point
c) The x-intercepts refer to the roots of the equation
By solving the quadratic equation i.e substituting 0 for y, we can get the two x values as follows;
2x^2 + 7x + 6 = 0
2x^2 + 4x + 3x + 6 = 0
2x(x + 2) + 3(x + 2) = 0
(2x + 3)(x + 2) = 0
2x + 3 = 0 or x + 2 = 0
2x = -3 or x = -2
x = -3/2 or x = -2
