Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

Q: What is the nearest distance from the point P(6,0) to the parabola? y^2=8x

A: GivenP(6.0)y2=8x To find nearest distance

Q: See attached

A: The given equation is

Q: 21. Which equation represents a parabola with a vertex (-3,2) and focus (-3,5)? O y = -32? – 2x + 5…

A: Parabola question

Q: What are the coordinates of the focus of the parabola (y + 5) = -8(x – 4) Enter your answer by…

A:

Q: y=-x² - 2x-5 Plot five points on the parabola: the vertex, two points to the left of the vertex, and…

A:

Q: Find the focus of the parabola y2 - 8x + 4y + 28 = 0. Select one: O a. (5, - 2) O b. (3, - 2) O c.…

A: We have to find the focus of the parabola

Q: Find the equation of the parabola with vertex at the origin and focus F (0, 5)

A: General equation of parabola with vertex at origin and focus on y axis is x^2= 4ay.

Q: Determine whether the statement is true or false. The graph of y = 2y + 9x is a parabola. %3D O True…

A: Standard equation of the parabola:

Q: Math for College Readiness The equation of the parabola with the same shape as f (æ) = 9x2 but with…

A:

Q: Find focus of the parabola y=1/2-x-1/2x^2

A:

Q: Graph the parabola. y? = 4x 12 10- 6+ 4+ ? -12 -10 -6 -4 -2 10 12 -2- -6. -8- -10 -12+ og

A: Given curve is a parabola  We have draw the graph of parabola.  Given parabola is a type of opening…

Q: Write an equation for the parabola with the given focus(F) and vertex(V). F(-2, 5) ; V (–2, 7) (x –…

A:

Q: y=2x + 8x +9 Plot five points on the parabola: the vertex, two points to the left of the vertex, and…

A: Equation of parabola in standard form is  y = ax²+bx+c

Q: Using the graph, determine the coordinates of the roots of the parabola. y 10 8 5 4. 3 1 -10 -9 -8…

A: Roots of the function from the graph

Q: Graph the vertical parabola for y = 2(x – 4)² – 3. %3D

A: We will compare given equation with, (x-h)²=4a(y-k) So, vertex for this is (h,k) Directix : y-k+a=0

Q: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

Q: 3. Write an equation for the parabola with focus (1, 3) and vertex (0, 3). a. y = 4(x – 3)² b. y =…

A: Given:      focus =1,3      vertex =0,3  The focus and vertex are horizontally aligned, so the…

Q: What are the coordinates of the turning 6) point of the parabola whose equation is y = x2 - 2x - 4?…

A: Turning point of parabola is the vertex of parabola .  General equation of parabola :  y = (x - h)2…

Q: Using the graph, determine the coordinates of the y-intercept of the parabola. 10 8. 4 -10 -9 -8 -7…

A:

Q: Give the focus, directrix, and axis for the parabola. y2 = -32x A) (8, 0), x = -8, x-axis B (-8, 0),…

A:

Q: Find the equation y=ax2+bx+c of the parabola that passes through the points (-2,0), (0,-14), (7,0)

A: The equation is:-

Q: y = 3x? + 6x – 5

A: The given parabola is: y=3x2+6x-5...(1)

Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

Q: What is the equation of the parabola given:  vertex at (-5, 1) and focus at (-5, 0.5) ? Write the…

A: Given, Vertex at (-5, 1) Focus at (-5,0.5) We know that the vertex form of the parabola is,…

Q: What is the focus of the following parabola? (y + 5)² = -12 (x - 2)

A: Given,  (y+5)2=-12(x-2)

Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

A:

Q: What is the equation of a parabola with the vertex (3, 7) and the focus (5,7)? = (y – 7)² + 3 B (y-…

A: Vertex of the parabola is 3, 7 and the focus is 5, 7. Now vertex is, h, k=3, 7⇒h=3  &  k=7 Focus…

Q: The equation of the parabola that has a vertical axis of symmetry, touches the line y= 6 and has its…

A: Your 3rd option is your correct option...detailed solution I have done step by step in…

Q: The equation of the parabola that has a horizontal axis of symmetry, touches the line x= - 8 and has…

A:

Q: Find the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

A:

Q: Find an equation of the parabola that has focus F (-3,-3) and directrix y = 1

A:

Q: What is the vertex of the parabola y = (x – 1)2 – 3? %3D

A: In this question to find the vertex of the parabola. So here we compare the given parabola with the…

Q: Graph the parabola. y=x y3x+10x+21 Plot five points on the parabola: the vertex, two points to the…

A: See the details solution in below

Q: Sketch the parabola and line on the same graph. y = x2 + 4 and y = 2x + 2

A: Given, y=x2+4   y=2x+2  The graph of given functions can be plotted as shown in the figure below.

Q: The hyperbolic representation of a 160-meter-tall tower can be modeled by (x^2)/25 - (y^2)/225 = 1…

A:

Q: nd the equation of the parabola with vertex at (5,-2) and focus at (5,-4). (x – 5)² = 8(y + 2) (x +…

A:

Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

A:

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: Graph the parabola. x=2(y-4)+3 12 10+ 10-+

A:

Q: Which graph represents the parabola, y=−(x−6)^2−4?

A: The equation of the parabola is given by y = -(x-6)2 - 4

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: Find the axis of symmetry and vertex for the parabola y = 5? + 30x – 1.

A:

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

A:

Q: Describe how the parabolas y = x2 + bx change as b changes from -oo to oo.

A:

Q: The coordinates of the turning point of the parabola whose equation is y = x – 6x + 8 are A (3,35) ©…

A: Given,  Equation of parabola: y= x2 - 6x + 8 We need to determine the coordinate of turning point…

Q: What is the range of the parabola shown below? # Select one: O a. y≤-8 O b. y≥-8 O c. y 24 O d. y≤-7

A: According to bartleby guidelines for multiple question I can answer only one question.

Q: Graph the parabola. x= 3(y+7)* +5

A: Given that: x=3(y+7)2+5