The parabola in the figure below has an equation of the form y = ax2 + bx - 4. Find the equation of the parabola using two different methods, by hand and with technology (graphing utility or computer software). Write a paragraph describing the methods you used and compare the results of the two methods.

Q: (x)

A:

Q: How do you find the intersections of a parabola and root function?

A:

Q: find the coordinates of the vertex and the focus for the parabola given by x2+6x+24y-111=0

A: SOLUTION-

Q: A parabola has vertex (2,4.8) and one x-intercept is (3,0). The other x-intercept is (?,0)

A:

Q: Write the equation in factored form. Show all your work State the zeroes and Determine the axis of…

A: To find vertex and axis of symmetry we want rewrite the given equation into vertex form.

Q: Describe how to find a parabola’s vertex if its equation is expressed in standard form. Give an…

A: The standard form of a parabola is y = ax2 + bx + c. To find the x coordinate of the vertex, use the…

Q: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

Q: A With the given equations, determine the vertex, focus, directrix, and axis of symmetry of the…

A: As we know that the standard equation of the parabola is: y-k2=4px-h where, vertex: (h, k), focal…

Q: Graph the quadratic (parabola). Y=-x^2+x+6

A: We have to draw the graph

Q: how do you graph a parabola

A:

Q: Write the parabola in standard form and graph. Please label its vertex and axis of symmetry…

A: That's easy. Have a great day!!!

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A: Given Equation:- 2025y2-225x2=455,625

Q: What is the line that cuts a parabola into two equal parts? * Your answer

A: Topic:- geography      axis of symmetry: A line that divides the parabola into two equal halves and…

Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: Write the equation of a parabola given vertex 2,4 and point 8,0. And please identify the focus.

A:

Q: Describe how to change an equation to translate the parabola vertically

A: We can translate the parabolic equations vertically. To produce the new parabola that is similar to…

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A:

Q: The zeros of a parabola are 6 and -5. If (-1,3) is a point on the graph which equation can be solved…

A: Given that the zeroes of the parabola are 6 and -5. and parabola passage through the point -1,3 We…