Upwards: it is cup shaped, not cap shaped.
down
It is like the letter U.
right
The given equation of the parabola is in the vertex form (y - 8 = a(x + 5)^2 + 2). Here, (a) is the coefficient of the squared term. Since the coefficient of ((x + 5)^2) is positive (as it's implied to be 1), the parabola opens upwards. Therefore, the parabola opens in the direction of positive y-values.
A PARABOLA. If the coefficient of 'x^(2)' is positive (+), then the parabola is 'bowl' shaped. If the coefficient os 'x^(2)' is negative (-), then the parabola is 'umbrella' shaped. This shape of parabola has the general eq'n of y = (+/-) ax^(2( + bx + c For a parabola lying on its side ; open side to the right, then the general eq'n is ; y^(2) = 4ax.
DOWN!
down
It is like the letter U.
right
left
No, a parabola is the whole curve, not just a part of it.
Open to the right. Like the sign for a subset, or a rounded version of the less than symbol, <.
The given equation of the parabola is in the vertex form (y - 8 = a(x + 5)^2 + 2). Here, (a) is the coefficient of the squared term. Since the coefficient of ((x + 5)^2) is positive (as it's implied to be 1), the parabola opens upwards. Therefore, the parabola opens in the direction of positive y-values.
A PARABOLA. If the coefficient of 'x^(2)' is positive (+), then the parabola is 'bowl' shaped. If the coefficient os 'x^(2)' is negative (-), then the parabola is 'umbrella' shaped. This shape of parabola has the general eq'n of y = (+/-) ax^(2( + bx + c For a parabola lying on its side ; open side to the right, then the general eq'n is ; y^(2) = 4ax.
LEFT
Open to the right. Like the sign for a proper subset, or a rounded version of the less than symbol, <.
positive.