Identify the vertex. (y+1)2 = - 225 (x– 1) A (-1, -1) B (1, 1) © (-1, 1) D (1, -1)

Q: Find the coordinates of the vertex of the parabola y = x^2 - 4x + 1 using derivatives O (2, -3) O…

A: To find the vertex of the parabola by using derivatives

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: 3. f(x) = -0.25x+ 8x - 2 Sketch: Opens: Vertex: Equation for Axis of Symmetry:

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Q: Convert to vertex form h. y= x^2 +6x -2

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Q: 2x x > 3 y 10

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Q: Graph: x2 + y2 = 1. Then locate the point (-1/2 , √3/2) on the graph.

A: The given equation x2+y2=1 represents a circle with centre at origin with radius 1unit. The graph is…

Q: of

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Q: A. Find the vertex for y = x² + 2x- 3. A. (0,-4) В. (1, -2) С. (-1, -4) D. (-2, -3) O A О в O c O D

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Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: Sy < 1/3 x 1²x + 3 X y ≥ 2x 12 z -

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Q: Select the equation that represents the graph abov A y = Vx + 4 - 2 B y = Vx - 4

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Q: 2. f(x) = 2 - 5x + 2x Sketch: Opens: Vertex: Equation for Axis of Symmetry:

A: The quadratic function is f(x)=2-5x+2x2 Let the function of the form f(x)=ax2+bx+c, if a &gt; 0 then…

Q: Match the equation with its graph. x2 + y2 + z2 = 25

A: According to question,Given equation,x2 + y2 + z2 = 25

Q: b. y = 1- (4x + 2)², Vertex; Y-intercept; X-intercept(s)

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Q: Find the point on the line -4x + 7y + 1 = 0 which is closest to the point (– 1, 3). %3D

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Q: 2) Graph a) y = x2 + 4x + 1 o b) y = x2 – 4x + 1

A: Let's find.

Q: Graph y s -x + 3. 3/2

A: Consider the provided inequality, y≤-32x+3 Graph the inequality of the above expression. Simplify…

Q: Match the equation with its graph. z2 = 1 16 31 21 -5 4. 4 2.

A: Here we have to draw the graph of the equation x29+y216+z29=1 .............................. (1)

Q: 30. Find the vertex of the parabola y = 4x² – 4x + 3 a. 0.5,2 b. 0.5,-2 C. -0.5, 2 d. -0.5, -2

A: I have draw the graph of parabola and find that Vertex=(0.5, 2)  Hence option (a) is correct

Q: transform y=x²+12x+32 into its vertex form and give the valuesof h and k

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Q: (b) Sketch the graph of y = x² + b for b = ±1, ±2, and +3 in a single coordinate system.

A: To graph the function,  y = x2 + b For b = -3, -2, -1, 1, 2, 3 On a single coordinate system.

Q: the graph is perpendicular to the graph of 3x-2y=5 and passes through the point whose coordinates…

A: Given the equation of line:

Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: Graphically, find the point (x1, y1) which lies on both lines 2x + y = 4 and x −y = 2.

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Q: Graph y 2-2x+3 on a plane. -2- 2 3 45 ... ... .. ... ........

A: Graph is given below....

Q: Match the equation with its graph. x2 y2 z2 = 1 16 56y 3 2- -3t 3 544 +

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Q: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

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Q: Find the 2eros and graph 4=-x5-x年ay

A: Given equation, y =-x5-x4+2x3+2x2-x-1To find zeros of equation, equate it to…

Q: Identify and sketch the graph of the equation x2+y2+z2-2x+4y+6z+14=0

A: Let us plot the graph.

Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: Identify the graph of 3x2 - 2√3xy + y2 + 2x + 2√3y = 0.

A: The given curve is 3x2 - 2√3xy + y2 + 2x + 2√3y = 0. using any graphing calculator, sketch the graph…

Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+4x-5. If there is…

A: The given parabola is: y=x2+4x-5...(1)

Q: Graph the curve r 2+2cos 20

A: The curve is r=2+2cos2θ.

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

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Q: ) = ,S ) = %3D %3D -2 R. 4. -2 T. Enter the ordered pair for the vertices for r90°, s)(QRST).

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Q: Find b and c that Y= 8x2 +bx+c has vertex (4,0) b= c=

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Q: e) y= 2x2 parent: Vertex: D: R:

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Q: Find the x intercept(s) and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If…

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Q: use the vortex (h,k) and a point on the graph (x,y) to find the general form of the equation of the…

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Q: Sketch and identify the graph of the following equations in R3: x2+y2+z2-2x+8y-6z+1=0

A: Here we have to sketch and identify the graph of the following equations in R3:…

Q: Sketch a graph of the equation. x + 2y + 16 = 0 10 4 石54324 45 6 789 車 No Solution -7

A: Topic:- geometry  In your answer x  intercept is not correct.

Q: Which is the graph of y = Vx + 2 +1

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Q: Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and…

A: topic  -  parabola

Q: Identify and sketch the graph of the following equations in R³ (a) x² + 2y² +2². 8x + 12y2z + 35= 0…

A: The given equation in part (a) is x2+2y2+z2-8x+12y-2z+35=0. The given equation in part (b) is…

Q: Find the X-intercept(s) and the coordinates of the vertex for the parabola y=-x² - 4x - 4. If there…

A: topic- parabolas

Q: Fill in each blank so that the resulting statement is true.

A: We know standard form of an ellipse is, x2a2+y2b2=1       ...(1)

Q: Find b and c so that y = – 10z² + bx +c has vertex (5, 10). b = c =

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