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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 y2-term, a, is positive?
Open to the right. Like the sign for a proper subset, or a rounded version of the less than symbol, <.
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.
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.
Given the standard equation for a parabola opening up or down which way does a parabola open when the coefficient of the x2 term a is positiveUp or down?
In that case it opens upwards.
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
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 y2-term is negative?
LEFT
Which way does a parabola open when the coefficient of its y2-term, a, is positive?
Open to the right. Like the sign for a proper subset, or a rounded version of the less than symbol, <.
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 coeffienct y2-term a is positive?
right
Given the standard equation for a parabola opening up or down which way does a parabola open when the coefficient of the x2 term a is positiveUp or down?
In that case it opens upwards.
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabola's equation?
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.
The vertex of this parabola is at (2, -4) When the y-value is -3, the x-value is -3 What is the coefficient of the squared term in the parabola's equation?
-5
How do you tell if a parabola opens up or down?
To determine if a parabola opens up or down, look at the coefficient of the quadratic term in its equation, typically in the form (y = ax^2 + bx + c). If the coefficient (a) is positive, the parabola opens upwards; if (a) is negative, it opens downwards. You can also visualize the vertex: if the vertex is the lowest point, it opens up, and if it's the highest point, it opens down.
