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Which way does a parabola open when the coefficient of its y2term a is negative?
Nose points right, opens to the left.
Which way does a parabola open when the coefficient of its x2 term a is positive?
It is like the letter U.
Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive?
right
Which way does a parabola open when the coefficient of its x2term a is positive?
Upwards: it is cup shaped, not cap shaped.
In which direction will this parabola open y-8(x plus 5)2 plus 2?
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.
Which way does a parabola open when the coefficient of its y2term a is negative?
Nose points right, opens to the left.
Which way does a parabola open when the coefficient of its x2 term a is positive?
It is like the letter U.
Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive?
right
Which way does a parabola open when the coefficient of its x2term a is positive?
Upwards: it is cup shaped, not cap shaped.
Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive Left or right?
left
When does a parabola open down?
No, a parabola is the whole curve, not just a part of it.
Which way does a parabola open when the coefficient of its y2-term is positive?
Open to the right. Like the sign for a subset, or a rounded version of the less than symbol, <.
Which way does a parabola open when the coefficient of its x2term a is negative?
DOWN!
In which direction will this parabola open y-8(x plus 5)2 plus 2?
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.
What do you call the graph of a quadratic equation?
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.
When does a parabola open upward?
A parabola opens upward when its leading coefficient (the coefficient of the (x^2) term in the quadratic equation (y = ax^2 + bx + c)) is positive. This means that as you move away from the vertex of the parabola in both the left and right directions, the values of (y) increase. Consequently, the vertex serves as the minimum point of the parabola.
Which way does a parabola open when the coefficient of its y2-term is negative?
LEFT
