(a) ≤ – 2 = 1, or (b) ≤ – 2 = 1; the positive numbers a = and b =

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

A:

Q: A parabola has its vertex at (2,1) and crosses the x-axis at (1,0) and at (3,0). Which of the…

A:

Q: Identify the vertex of the parabola: Y -5 -7 -4 -3 -2 -1 1 01 90 8 1 2

A:

Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

Q: Ex. For the hyperbola *-= find the coordinates for the foci and vertices.

A:

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

A:

Q: (z – #1)² (y – yn)² 1 to find the y-values to the nearest integer from the given z and y-values in…

A: We have to find out y value

Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

A:

Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

A:

Q: 7. Write an equation for each parabola a) 0, 11) 8- 4- (4, –5) b) | YA |(-6, 4) 4- (-5.3) 2 -6 -2 0…

A:

Q: The parabola with equation y = ax² + bx+c intersects the x-axis in x = -3 and x = 5 and has the…

A:

Q: t1 t2 t3 t4

A: The p(t) is the function depending in value t. So p(t) is on y-axis.

Q: The equation for a parabola has the form y = ☛² + bx+c, where a, b, and care constants and a 0. Find…

A: Given that the equation of the parabola is of the form y=ax2+bx+c. Find an equation of the parabola…

Q: 8.(T) The points (-2, 7) and (4, 7) lie on the parabola defined by the equation y = 3x2 - 6x - 17.…

A: To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways)…