What are the key features of 2x+ 4y 8 that can be used to sketch a graph?

Q: Question 20 > Sketch the graph of y = 1(x + 3) + 3. Mark the vertex and each x-intercept with a dot.…

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Q: when is the vertex of a parabola the minimun point? When is it the maximum point

A: Given query is to find that when is the vertex of a parabola the minimun point? When is it the…

Q: 1) The diagram shows the graph of y = x² - 2x - 8. The graph crosses the x-axis at the point A and…

A: The given problem is to factorise the given equation and also find the co-ordinates of A and B shown…

Q: Based on a grade 10 student, answer the following question: Consider the quadratic relation…

A: The objective of this question is to convert the given quadratic equation into vertex form by…

Q: QUESTION 5 Compare (in words) the graphs of y>-4x - 2 For the toolbar, press ALT+F10 (PC) or…

A: solution of the given problem is below ..

Q: Find an equation for the graph sketched below 용 7- 4- -5 -4 -3 -2 -2 -4- -5- -6- -7- -8+ f(x) = %3D…

A: To find Equation of a line from the given graph.

Q: 11. a) Graph y = 2x - 12x + 10 using a table. (Use next page for work) b) What are the roots of the…

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Q: 9. Use a graphing calculator or graphing utility to explore the graphs of In(z +2) and 2+ Ina. Label…

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Q: find the vertex and standard form

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Q: In the image below, a coordinate grid has been overlaid over a basketball's quadratic path. Find an…

A: It is given that, a coordinate grid has been overlaid over a basketball's quadratic path. We have to…

Q: 2+3X A ) Sketch the graph 4+2X

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Graph the following: a) h(x) = 2x² b) k(x) = 3x² + x -2 x 6 + 1 c) f(x) = 9x² - 3x - 2 4 2 d) y - 2x…

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Q: Question 2. Factor and sketch the following equation on a graph, f(x) = -5x² + 15x² and describe the…

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Q: 2 y = x + 10x + 24

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Q: Graph the functwns (Must show steps) fx)=$(x-2)²-1 Vertex : Axis of symmetry X;Y intercepts : -4 -2…

A: Equation of parabola

Q: x- y=-2 2.x + y = 1 -41 4 -2 -6 -5 -4 -3 -2 -10 1 2 3 4 5 6 --3 -2 -10 1 2 3 4 5 6 -2 -2

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Q: y 2x - 1 Graph: ys -글a-2 -5 -4 -3 -2 -1 3 4 5 -2 -4 -5+ Clear All Draw:

A: Given:  y≥2x-1y≤-12x-2 To sketch: Graph of given inequalities.

Q: Graph: x² - y<0 2x² +y ≤ 12 {22²

A: Graph is a representation of information using lines on two or three axes such as x, y, and z.

Q: Which graph represents the equation −4x^2+8y+7=0

A: Answer is provided below

Q: Explain in words (point form is acceptable) the transformations and the order you would apply them…

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Q: Rewrite the following in Vertex form: a) f(x) = 2x² - 3x + 4 b) g(x) = c) h(x) = 2x =-2²-²-1 3 5…

A: Vertex form of a quadratic polynomial is                               f(x)=a(x-h)2+k ,  where a,h,k…

Q: Write an equation (any form) for the quadratic graphed below: 5+ -5 -4 -3 -2 1 2 4 5 -2 -4 -5+ y =

A: Here we find equation of graph

Q: 2. Bill graphed = 3x² + 8 and Joy graphed = 3x +4. What statement describes the difference in the…

A: Using graph

Q: What are the zeros of the following graph 15) y= x - 11x² + 28x

A: We have to find the zeros

Q: 9. If you were to graph f (x) = 2x2 + 4x – 6 , what would the coordinates of the vertex be? What…

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Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: 3-115. Change the equation x²+8x+y²-12y=12 to graphing form and sketch a graph.

A: We will get the graphing form of the equation by completing the squares of x and…

Q: A graph of y-x³+x²-10x+8 is shown. Use the graph to solve x² + 4x² - 40x+32 <0. 34 6 2 A 14 -20 2 4…

A: Given graph is corresponding to the function where Obviosly given function and  both agree negative…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.