a) Find the discriminant of y = 14x2 - 13x +7. %3D b) How many roots does the graph of y = 7x2 – 23x + 4 have?

Q: 2 4x + 9to vertex form by Change the standard form equation y = x" completing the square. -

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Q: Find particular solution of a yd-y'= 2sinx 11

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Q: Find the intercepts and graph in the first octant the equation 4x + 8y = 16. If an intercept does…

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Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

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Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A: NOTE: Refresh your page if you can't see any equations. . width of the rectangle is  and the length…

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Find the x-intercepts of the graph of the equation shown below. y=24x2 – 76x+40 OA. and OB. ,0 and…

A: Consider the equation: y=24x2-76x+40. Find the x-intercept.   x-intercept is the point on the graph…

Q: The exercises in this section should be done using a graphing calculator or computer algebra…

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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: 18. A) Complete the square for y = 2x² − 12x – 14 B) Determine the coordinates of the vertex. Is it…

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Q: Given f(x) = x² – 16x + 55, a. Does the graph of the parabola open upward or downward? b. Find the…

A: Given f(x)=x2-16x+55 Let y=f(x) Then y=x2-16x+55…

Q: Solve for the vertex of the parabola equation: x2-4x-12y+52=0, whose Latus Rectum is 12 and is…

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Q: The circle given by the equation x² + y² + ax + by + c = 0 passes through the points (-2, 0), (1,…

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Q: an equation is written in the general form f(x)=ax^2+bx+c, what technique/process can one use to…

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Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Topic = Application of Derivative

Q: FinD the asymplehes of the Cerve +y) (x+24+2) = X+94-2. 2,

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Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

Q: # 3) Create the equation of the cubic, in standard form, that has x-intercepts of 3, -1, and 2…

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Q: Find, in factored form, the equation of the quartic function y that has been graphed. Let the…

A: We have to find the quartic equation represented by the given graph.

Q: The points of intersection of the graphs of xy = 20 and x2 + y2 = 41 are joined to form a rectangle.…

A: Given: xy=20                                              ..1x2+y2=41…

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

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Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: Make a change of variable, x = Py, that transforms the quadratic form x? + 10xjx2 +x; into a…

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Q: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: Find an equation of the line in the form ax+ by = c whose x-intercept is 30 and y-intercept is 6,…

A: The given form of equation of line is:ax+by=cThe x-intercept is 30The y-intercept is 6

Q: ind the x-intercept(s) and the coordinates of the vertex for the parabola y=-x´-10x-25. If there is…

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Q: This exercise should be done using a graphing calculator or computer algebra system. Plot x3 - 12x +…

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Q: - 7x + 12 = 0 %3D AY

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Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

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Q: b) Use the square points to graph y = g(x). on the grid.

A: Given: y=x2-2x-2 b) Use the square points to graph y=g(x) on the grid. d) Use the circular points to…

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

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Q: Find b and c so that y=11x2+bx+c has vertex (−7,4). b= c=

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: If the vertex of the parabola y = −2x^2 + k + 3 has a y-coordinate of 11, determine all possible…

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Q: Find the vertex of the parabola by applying the vertex formula. f (x)=4x² – 56x+ 84

A: Given: f(x)=4x2 - 56x + 84 The vertex of an up-down facing parabola of the form  y=ax2+bx+c is…

Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+8x+12. If there is…

A: The required solution is

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

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Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

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Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

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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: The parabola y = kx2 – 3x + (k+2) has two distinct real roots. What set of values can k be?

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Q: Find the equation for the parabola that has its vertex at the origin and has directrix at…

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Q: 5. Complete the square and write into graphing form: a. y= x² – 2x +2 b. y = 2x – 4x - -

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Q: use graphs to find approximate solutions 2x = 5

A: Given that, 2x=5

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

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

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