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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?
The general equation of a parabola is y = ax2 + bx + c.
The vertex of a parabola is (-b/2a, c - b2/4a). In our case the vertex is (2, -4). So we have,
-b/2a = 2, so that b = -4a, and
c - b2/4a = -4 (substitute -4a for b)
c - (-4a)2/4a = -4
c = 16a2/4a = -4 (simplify)
c - 4a = -4 (solve for c)
c = 4a - 4
By substituting -4a for b, and 4a - 4 for c, the equation becomes,
y = ax2 + bx + c
y = ax2 + (-4a)x + 4a - 4
Since it is given that when x = -3, y = -3, we substitute them into the new equation and solve it for a. So we have,
y = ax2 + (-4a)x + 4a - 4
-3 = a(-3)2 + (-4a)(-3) + 4a - 4
-3 = 9a + 12a + 4a - 4 (add 4 to both side, and add alike terms on the right-hand side)
1 = 25a (divide by 25 to both sides)
1/25 = a (this is the required answer)
If you want to find the equation of the parabola, just substitute 1/25 for a, such as:
y = ax2 + (-4a)x + 4a - 4
y = (1/25)x2 + [-4(1/25)]x + 4(1/25) - 4
y = (1/25)x2 -4/25x + 4/25 - 4
y = (1/25)x2 -4/25x + 96/25
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The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1 What is the coefficient of the squared expression in the parabola's equation?
The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1. The coefficient of the squared expression in the parabola's equation is -6.
What is the coefficient of the squared term in the parabola's equation when the vertex is at 3 5 and the point -1 6 is on it?
A parabola with vertex (h, k) has equation of the form: y = a(x - h)² + k → vertex (k, h) = (3, 5), and a point on it is (-1, 6) → 6 = a(-1 - 3)² + 5 → 6 = a(-4)² + 5 → 1 = 16a → a = 1/16 → The coefficient of the x² term is 1/16
What is the vertex of a parabola whose equation is y equals x 32?
The given equation is not that of a parabola since there are no powers of 2. Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).
What is x squared minus 8x plus 8y plus 32 equals 0 in standard parabola form?
7
What is x squared minus 5?
It is x^2 - 5 which, if plotted on the x-y plane will be a parabola which is symmetric about the y axis and has its apex at (0, -5) .
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4 What is the coefficient of the squared term in the parabolas equation?
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4. The coefficient of the squared term in the parabolas equation is 7
What is the coefficient of the squared expression in the parabolas equation?
The coefficient of the squared term in a parabola's equation, typically expressed in the standard form (y = ax^2 + bx + c), is represented by the value (a). This coefficient determines the direction and the width of the parabola: if (a > 0), the parabola opens upwards, and if (a < 0), it opens downwards. The larger the absolute value of (a), the narrower the parabola.
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 parabolas equation?
7
When vertex of this parabola is at (35) . When the y-value is 6 the x-value is -1. what is the coefficient of the squared term in the parabolas equation?
It is 1/16.
What is the coefficient of the squared term in the parabolas equation When the y-value is -2 and the x-value is -5 and The vertex of this parabola is at -2 -3?
A coefficient is a number that accompanies a variable. For example, in the expression 2x + 4, the coefficient is 2.
The vertex of this parabola is at 3 1 When the y-value is 0 the x-value is 4 What is the coefficient of the squared term in the parabolas equation?
To find the coefficient of the squared term in the parabola's equation, we can use the vertex form of a parabola, which is (y = a(x - h)^2 + k), where ((h, k)) is the vertex. Given the vertex at (3, 1), the equation starts as (y = a(x - 3)^2 + 1). Since the parabola passes through the point (4, 0), we can substitute these values into the equation: (0 = a(4 - 3)^2 + 1), resulting in (0 = a(1) + 1). Solving for (a), we find (a = -1). Thus, the coefficient of the squared term is (-1).
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 5 5 When the x-value is 6 the y-value is -1 What is the coefficient of the squared expression in the parabola's equation?
The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1. The coefficient of the squared expression in the parabola's equation is -6.
What is the parabola?
A parabola is a type of graph that is not linear, and mostly curved. A parabola has the "x squared" sign in it's equation. A parabola is not only curved, but all the symmetrical. The symmetrical point, the middle of the parabola is called the vertex. You can graph this graph with the vertex, x-intercepts and a y-intercept. A parabola that has a positive x squared would be a smile parabola, and the one with the negative x squared would be a frown parabola. Also, there are the parabolas that are not up or down, but sideways Those parabolas have x=y squared, instead of y = x squared.
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
The vertex of this parabola is at 4 -3 When the x-value is 5 the y-value is -6 What is the coefficient of the squared expression in the parabola's equation?
-3
The vertex of this parabola is at (4 -3). When the x-value is 5 the y-value is -6. What is the coefficient of the squared expression in the parabola's equation?
-3
