a. b. 1. 1 2 3 3-2-11 3.4 C. d. -2 + 32 1 4. S43 21

Q: The vertex of the parabola is (4, 0), and the directrix is x = 0.25. Which form does the equation of…

A: Solve the

Q: For numbers 12 _ 14: A parabola defined by the equation x + 3 = (y + 2)² is translated 4 units down…

A:

Q: Find the focus and direcctrix of a parabola whose equation is of the form Ax2 + Ey = 0, A ≠ 0, E ≠…

A:

Q: Which of the following parabolas match the following graph below? O y--r+6x O y=+6x O y=-x+6 O…

A:

Q: 4. Classify the following as an ellipse, hyperbola, or parabola and sketch a graph like we have done…

A: a)The equation is, (9x2-36x)+(4y2-24y)=-36

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Because the directrix is a horizontal line, we know that the vertex form of the general equation for…

Q: Assuming all parabolas are of the form y = ax² + bx + the graphs to match the appropriate a-value. a…

A: Given,

Q: find the equation for the parabola that has its vertex at the origin and has directrix at y = 1/44.

A: find the equation for the parabola that has its vertex at the origin and has directrix at y = 1/44.…

Q: The vertex of the parabola is (4, 0), and the directrix is x = 0.25. Which form does the equation of…

A:

Q: What is the equation of the drawn parabola? Notice that the green dot near the "f " marks the…

A: We can draw graph

Q: snip

A: The general equation of family of parabola is  y=x-c2

Q: Find the focus and directrix of parabola with the given equation x2 = 4y. Then match the equation to…

A: x2=4y Comparing with x2=4ay, we get 4a=4⇒a=1 Therefore focus is, 0, a=0, 1 Directrix is, y=-a⇒y=-1

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A:

Q: Find the equation of the parabola described Vertex at (8,-5)(8,−5); focus at (8,-7)(8,−7) a)…

A: Topic- Equation of parabola

Q: The parabola y = -r² + 4 has vertex labelled P and intersects the r-axis at the points labelled A…

A:

Q: Find the focus and directrix of the parabola with the given equation x2 = -4y . Then match the…

A: x2=-4y It is in the form of x2=-4ay. Here,  -4a=-4⇒a=1 Therefore, Focus is,0, -a=0, -1Directrix…

Q: 8. The length of the latus rectum of the parabola represented by the equation y = 4 . a. 2 units b.…

A: 8 we will find length of the Latus Rectum of the parabola y=4x2 We know that length of Latus rectum…

Q: Use the graph of the parabola to fill in the table. 10Y (a) Does the parabola open upward or…

A: As per guidelines we can answer only three subparts questions at a time so if you need more answers…

Q: Parts A-C

A:

Q: Given the focus and directrix of a parabola, identify its important characteristics. 10 8 -10 -8 -6…

A:

Q: snip

A: Solution:Given       x24-y29=1To find a,b and Transverse axis.Formula:Standard form of…

Q: For numbers 12 14. A parabola defined by the equation x+3 = (y + 2) is translated 4 units down and 3…

A:

Q: Find the vertex and focus of the parabola from the given equation and select its graph. ²+16y = 0

A:

Q: 4x + y2 + 8y + 8 = 0   If it is a parabola, find the vertex, focus, and directrix.

A: As a first step we will convert the equation in the standard form of equation representing a…

Q: Which of the following parabolas match the following graph below? O y=-x²-4x ○ y=ーズ+4 ○ y=ー+4x O…

A:

Q: The vertex of the parabola is (5, 0), and the directrix is x = 0.25. Which form does the equation of…

A: Given : Vertex = (5, 0) and directrix is x = 0.25

Q: The center of a circle is the vertex of the parabola y2 + 24x−12y + 132 = 0. If the circle…

A:

Q: Find the focus and directrix of parabola with the given equation y2 = -4x. Then match the equation…

A: Given that : The equation of the parabola is y = - 4 x2 .

Q: Find the vertex, focus, directrix, axis of symmetry and latus rectum of each of the following…

A: (As per bartleby guidelines, for multiple questions asked, only the first one will be solved. Please…

Q: The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?…

A: Given Focus (2, 5) of a parabola and the directrix y=1We need to find the equation of 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: A parabola has the following equation y-2=-E (X+3)? 16 Which statement is not true? OA The vertex of…

A: The given equation of parabola is y-2=-116x+32 The equation of parabola with vertex (h, k) is…

Q: Find the D.E. of the family of parabolas with axis parallel to the y – axis and with the distance…

A: Given, The family of parabolas with axis parallel to the y-axis and with the distance from focus to…

Q: A parabola has a focus of F(2,−0.5)F(2,−0.5)and a directrix of y=−1.5y=−1.5. P(x,y)P(x,y)represents…

A: Let (x, y) be any point on the parabola. So, the distance between (x, y) and the focus will be :

Q: te an equation for the parabola with tex at (-3, 0), opening downward, . with a vertical stretch of…

A: we have to find the equation of parabola with vertex at (-3,0) opening downwards and a vertical…

Q: Find the equation for the parabola that has its focus at the (−394,−4) and has directrix at x=−254

A: Focus of the parabola is -394, -4 and directrix is x=-254. Now, Focus=-394, -4⇒h+p, k=-394,…

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Focus of the parabola is -3, 5 and the directrix is y=-1. Focus is, h, k+p=-3, 5⇒h=-3  &  k+p=5…

Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

A:

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A:

Q: If a parabola's focus is at (-2,5) and directrix is at y = -1, what is the vertex form of the…

A: The correct answer is option (2).

Q: A parabola having its x axis parallel to the y-axis has its focus at (5,6) and vertex at (5,4).…

A:

Q: Find the coordinates of the vertex and the focus for the parabola given by the following equation:…

A:

Q: Find the focus and directrix of parabola with the given equation x2 = -4y. Then match the equation…

A: Given that, x2=-4y. It is in the form of x2=-4ay. Here, -4a=-4. That implies, -4a=-44a=4a=44a=1…

Q: Find the vertex, focus, and directrix of the parabola with the given equation (x + 1)2 = -4(y + 1).…

A: Given: The equation of a parabola is, x+12=-4y+1 The above equation can be converted into vertex…

Q: 12. Determine the equation of the directrix for the parabola 20x=y2–10y+30 а. X-20 b. y=-20 с. X3-20…

A: Question : Determine the equation of the directrix for the parabola 20x = y^2 - 10y +30.

Q: Determine the following details about the parabola associated with the equation y = (x + 2)² – 16…

A:

Q: 12. If (f, 0) is the focus of the parabola given by y? = 12x, and (h, k) is the center of the…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.