Q: How many zeros can a quadratic function have?
A: We have seen that a quadratic polynomial is of the form: fx=ax2+bx+c ,a≠0 We assume that a, b and c…
Q: Find the quadratic function for which: Vertex is ( - 1, 2); contains the point (1, 6)
A: Consider the given point 1,6 and vertex -1,2
Q: find the quadratic function for which: Vertex is 1 - 1, 22; contains the point 11, 62
A: Vertex form of a quadratic function: y=ax-h2+k ...(1) Where (h, k) is the vertex.
Q: Compute the discriminant of equation .What does the discriminant indicate about the number and type…
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Q: 3. Find expressions for the quadratic functions whose graphs are shown. (-2, 2), (0, 1) (4, 2)
A: Given that:
Q: Find the intersection point of the line 3x-2y 0 and the line passing through the point (-1,0) and…
A:
Q: Develop the equation
A: we are given an expression here (x33-x2)2 first we will expand this using formula (a+b)2=a2+b2+2ab…
Q: Use the method of completing the square to express f(x) = 3x - 24x + 58 in vertex form. %3D
A:
Q: Find the equation of the line passing through the point (2, 3) and parallel to the x-axis.
A: Given that the line is parallel to x-axis it implies the slope of the line will be equal to zero.…
Q: Find a quadratic equation whose product of roots x₁ and X2 equal to 4 and satisfying the relation X₁…
A:
Q: Determine the quadratic function f whose graph is given. The vertex is (3,−4) and the other…
A: Given :- The vertex is (3,−4) and the other given point is (2,-1).
Q: Compute the discriminant of equation .What does the discriminant indicate about the number and type…
A:
Q: determine the quadratic function if the vertex V ( -2,6 ) and a point on the graph P(-4,-2) are…
A: Given:
Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.
A: Find the quadratic polynomial
Q: State whether the equation z= (;)' + (3)° %3D defines: ?
A: The equation is z=x82+y52To define the shape of this equation
Q: find the quadratic polynomial whose zeores are (I) 3,-4 (ii) 2,1
A: Given problem is : find the quadratic polynomial whose zeroes are (I) 3,-4 (ii) 2,1
Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…
A: Given: vertex at 3,5 and it contain the point 2,3
Q: What are the real root(s) of the quadratic equation whose related function is graphed below? A (3,0)…
A:
Q: Determine the equation of the quadratic function with vertex (3, 5) and passing through the point (–…
A:
Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)
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Q: D. Determine the equation of the quadratic given its graph. 1. {4, 6} x=4 & x=6 or
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Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…
A: Given 2x2-11x+3=0 For any quadratic equation of form ax2+bx+c=0 the discriminant is given by b2-4ac…
Q: Solve for x. 646x+3 2 x+35x-2 %3D If there is more than one solution, separate them with commas. No…
A: Solve for x 646x+3 = 2x2+35x-2
Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…
A: we have to compute the discriminant of the equation. then we have to tell what does the discriminant…
Q: Find two quadratic functions,one that opens upward and one that opens downward, whose graphs have…
A: To Determine: Find two quadratic functions,one that opens upward and one that opens downward, whose…
Q: Compute the discriminant of equation .What does the discriminant indicate about the number and type…
A:
Q: Find the quadratic function for which: Vertex (3,-4) is contains the point( 4,2)
A: Solution: A quadratic function can be written in the vertex form : f(x) = a(x-h)2 + k where (h, k)…
Q: Find all points on the x-axis that are 6 units from the point .(4,-3)
A: Consider the point on the x-axis be (x, 0)
Q: Find the quadratic function using the given roots 1. (-3 2 ,0) and (1,0) 2. (2 3 ,0) and (-3,0)
A: We can find the quadratic functions as below.
Q: Determine the roots of the auxiliary equation of 3
A: Given, y'''+3y''-4y'-12y=0
Q: Find a point ( is 2x +
A: The equation of a line parallel to the line 2x + y = 3 will be: x-2y=k .................. (1) where…
Q: Explain the steps to find x- and y- intercepts of an equation of the form Ax + By = C
A:
Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)
A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)
Q: Write a polynomial equation with integer coefficients that has the given roots. y = 7, y = -2
A:
Q: Find a polynomial equation that passes through the points (1,3), (0,1), (1,3)
A:
Q: Find a formula for the quadratic function with a vertex of (5,0) while f(6)=2
A: Given, A formula for the quadratic function with a vertex of 5,0 while f6=2.We know that,…
Q: Find the intercepts of the graph of each quadratic function. Show solutions also. 1. y = 4x^2+8x+3…
A: 1. y=4x2+8x+3 Y intercept is where x=0. So, y=4×02+8×0+3=3 So, y intercept is (0,3) x…
Q: 2. Determine the equation of the quadratic function which passes through the points (-2, -20), (1,…
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Q: 6. Determine the equation of the quadratics with x-intercepts of 2 and -2 and a y- intercept of-6.
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Q: Find the point on the line 3x-4y-1=0 which are at a distance of 5 units from the point (3,2)
A: To Find: The point on the line 3x-4y-1=0 which are at a distance of 5 units from 3,2. Concept:…
Q: Find a quadratic polynomial whose zeroes are (i)3, -4 (i)2, 1
A: Quadratic equation = x2-(Sum of zeroes)x + product of zeroes =0
Q: The point that is equidistant from the points (-2,0) and (5,7)
A: our objective is to find the points
Q: An equation with real coeticients has (-0, 3, and 4 among its roots. What is the lonest possible…
A:
Q: A rectangular box for a new product is designed in such a way that the Three dimensions always have…
A: Given: A rectangular box for a new product is designed in such a way that the Three dimensions…
Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).
A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…
Q: Find the quadratic function for which: Contains the points (0, 5), (1, 2), and (3, 2)
A: The given points are, (0, 5), (1, 2), and (3, 2). The quadratic equation is of the form y=ax2+bx+c.…
Q: Which equation is being represented
A: Equation of a line with x and y intercepts is given by - xa+yb = 1where,x-intercept = a,…
Q: Find all points on the x-axis that are 5 units from the point (4, - 3).
A: Solution Given (x1,y1)= (4 -3) y2 = 0 (point lies on x- axis) we know the distance formula…
Q: Find a quadratic equation that fits this set of data points: (0,-5) (3,4) (9,4)
A:
Q: What is the degree of a polynomial equation? What are polynomial equations of degree 1 and degree 2,…
A: given , to define degree of polynomial equation and what are polynomial equations of degree 1 and 2
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