Q1) Graph the parabola (y = X² + 4x + 3) and label the Vertex, axis, and intercepts.

Q: Find an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

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Q: how do i graph the parabola y=3x2-1

A: NOTE: Refresh your page if you can't see any equations. . to graph the function we need a few…

Q: Q.2 Find the vertex point and show in graph: y=2x²-4x+4

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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: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

Q: 3. Explain briefly the steps to find the coordinates of the vertex of y = 2x –16x+5

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Q: Graph the parabola. Y=x2-7

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Q: Can the graph of an equation x2 + y2 = 25,have more than one form of symmetry?

A: To determine: The graph of given equation and its symmetry.

Q: Match the equation with its graph. y2 +z2 - x² = -1 = -1 %3D |

A: To be found :     Graph of y2 + z2  - x2 = -1

Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

Q: Graph: 4x2 + 36y2 + 40x - 288y + 532 = 0. Where are the foci located?

A: On simplification, we get

Q: Sketch the graph of y=2x^2-16x+30  Label the vertex and the x and y intercepts.

A: The given function is y=2x2-16x+30. Rewrite the above equation as follows.…

Q: What are the vertex and axis of symmetry of the parabola y = x2 – 16x + 63? A. vertex: (8, -1); axis…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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

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Q: Sketch the graph of 2x2 + 9y2 = 18, and find the foci.

A: We  have to find the foci of the given equation   we have the given function as 2x2 + 9y2 = 18 we…

Q: What is the vertex of the parabola given by the equation (y+ 1)2 =-8x?

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Q: 2. What is the vertex of the parabola y = (x + 6) - 9?

A: the general equation of the parabola = (x-a)^2 = 4 c (y-b)  where a and b are the vertices of the…

Q: Find the vertex of the parabola. y = x2 + 14x + 49 Please enter your answer as an ordered pair.

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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: What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?

A: At the vertex derivative of y is equal to zero.

Q: Explain briefly the steps to find the coordinates of the vertex of y = 2x –16x+5 -

A: Given quadratic equation is y=2x2-16x+5.

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: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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Q: 6. Write the equation y = x² - 4x + 2 in vertex form.

A: Given, y=x2-4x+2

Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the…

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Q: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

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Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

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: What Went Wrong? A student stated that the center and radius of the graph whose equation is 1x + 32…

A: Explanation:-  The standard equation of the circle with center at (h, k) and radius r is, x-h2 +…

Q: Find the coordinates of the vertex at y=-3x² + 5x -2?

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Q: y = 3x² + 6x – 5

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

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

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

Q: How do you obtain the graph of y = 41x + 322 + 6 from the graph of y = x2?

A: Given 2 functions: y=x2 and y=41x+322+6 Substituting y=x2 in the other equation, x2=41x+322+6…

Q: Graph the hyperbola. 2 9x²-y²=9 14 12- 10- (8-

A: Please refer to the image below l

Q: 14. y = 2x- 12x + 10 Axis of Symmetry: Vertex: Sketch:

A: Given

Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: Find b and c so that y = 7x2 + bx + c has vertex (– 6, 2). - С —

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Q: (b) Graph the equation x² + 2x +9y² +9z² = 8, labelling the coordinates of the center and one vertex…

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Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

Q: 2. Suppose that the graph of y = ax²+bx+c is a parabola which vertex is V (-3, 7), what is the…

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Q: Identify the vertex of the parabola. y=x-12x+43

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Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

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Q: b. Find another equation of the parabola with vertex of coordinates 131 and containing the point of…

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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: I need help figuring out 2x-4y=12 graphed with solution points.

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Q: Sketch the graph of 9x2 + 4y2 = 25, and find the foci.

A: Given equation is 9x2+4y2=25. To sketch the graph and find the foci. Solution: Given equation can be…

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given equation of the parabola is,x = y2 − 2y – 15

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.