Draw the graph of y = 2z² + 3z + 1. a. What are the z- and y-intercepts? b. Where is the line of symmetry of this parabola? Write its equation c. What are the coordinates of the vertex?

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: Which is true about the graph of y < x2 + 2x − 6?   A. The parabola is a solid line. B. The…

A: Equation : y=x2 + 2x - 6 y = x2 + 2x +1 - 7 y = (x+1)2 - (√7)2 (y+7) = (x+1)2  This is equation of a…

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A: The given equation is

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A: The given parabolic equation is,

Q: What is the y-intercept of the graph of the parabola whose equation is y = x² – 2x- 8? A (4,0) B…

A: The point where a line or curve crosses the y-axis of a graph.  In other words: find the y value…

Q: When graphed in the xyxy-plane, what is the yy-coordinate of the vertex of the parabola with…

A: given,       the parabola with equation y=−3(x−4)(x+6)

Q: What is an equation of the axis of symmetry of the graph of the parabola y=2x^2+3x+5

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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: 9. Find the equation of the parabola that had vertex at (4,-2) and focus at (6,-2)

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Q: Use a graphing device to graph the parabola. 8y2 = x

A: Parabola - Parabola is a locus of the points that have equal distance from a fixed point and fixed…

Q: 16. Which equation represents a parabola with vertex (4, 4) and directrix y = 2? O y = 2a2 - 4x + 4…

A: We need to find the equation of parabola whose vertex is (4,4) and directrix is y = 2

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

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

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Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 9) are

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Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

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Q: sketch a graph of each parabola. Label the coordinates of the vertex and the equation of the axis of…

A: Solution: The objective is to find the vertex and the axis of symmetry

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: Graph problem...

Q: t is the equation of this parabola?

A: Given that, A  parabola has a vertex of (3,-2) and a y-intercept of 7.

Q: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

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: Match the equation with its graph 4x2 − y2 + 4z = 0.                                    [The graphs…

A: Given information: 4x2-y2+4z=0

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

A:

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: We have to find the vertex

Q: Sketch the parabola and line on the same graph. y = 3x2 − 4  and  y = 2x + 4

A: point out zero of function and line and draw graph using these points

Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: 3 2 1 ...*... -7-6–5–4-3- 1 2/3 4 5 6 m 4 56

A:

Q: Determine the equation of the parabola whose graph is given below. -7-6-5-4- F 432DE 2 1 6 2 3 4 5 6

A: This question is based on general equation of parabola.

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -2), axis parallel…

A: GivenV(3,-2)y-intercept -1To  find  equation of parabola.

Q: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

A:

Q: Determine the equation of the parabola graphed below. 5 4 3 1 1 2 3 4 6. 7 Provide your answer…

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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: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Given :-  Vertex (4, -7) and  x - intercept is -4 . To Find the standard equation of a parabola :-…

Q: 2. Write the equation for a parabola, in vertex form, that satisfies the following conditions: a)…

A: Given: The vertex: (3, -8)

Q: ) Consider y² 4 What value(s) of K, if any, will make this graph a parabola? 7- Kxy - y = 9x² +

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Q: Graph the parabola. y=-3(r+5)-3

A: The given equation of the parabola is  y=-3(x+5)2-3

Q: What is the equation of the parabola with a vertex at (4.8) and a directrix at y = 53

A: This is a simple question based on conic section (Topic is parabola) before attempting this question…

Q: Match the equation with its graph. y2 z2 = 1 6. 16 31 2 3r

A: The objective is to match the equation with its graph. The graph is given below.

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: Examine the two graphs below to consider the ways a line could intersect the parabola. ty 8. ty 8 4…

A: We have to check weather the given graph will intersect or not.

Q: What are the coordinates of the turning 3) point for the graph of the parabola whose equation is y=…

A: Turning point of parabola (vertex)

Q: If the equation y=(x-6)(x+12) is graphed in the xy-plane, what is the x-coordinate of the parabola's…

A:

Q: What is the AOS for this parabola? b. What is the vertex for this parabola' а. С. What is the…

A: " Since you have posted  question with multiple sub - parts, we will solve first three sub - parts…

Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = +…

A: The equation of the family of parabolas with vertex and focus on y axis

Q: d. Find the equation of the vertical parabola that passes through the points: A = (6, 1), B = (-2,…

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Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

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Q: 1. Change the given equation from general form to standard form, identify the vertex, focus,…

A: The standard form of the parabola is (x-h)2 = 4p(y-k), convert the given equation into standard…

Q: What is an equation of the axis of symmetry of the graph of the parabola y=2x^2+3x+5. A y=-3/2 B…

A: Option D Is correct answer

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…