When constructing the standard equation of a parabola, how do you know when the p value is negative?

Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola  y =9x2 +x+c  One x-intercept is -2.  We have to find the value…

Q: Write an equation for a parabola with X intercepts (-3,0) and (5,0)which passes through the point (4…

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Q: How do you find the intersections of a parabola and root function?

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Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

Q: Write the equation in factored form. Show all your work State the zeroes and Determine the axis of…

A: To find vertex and axis of symmetry we want rewrite the given equation into vertex form.

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

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Q: -1 21 -3 11 -5 6. -7 11 -9 21

A: We have to find whether the given table of x and y represents a parabola or not.

Q: Look for the equation of the parabola with axis parallel to the x-axis and solve by removing the…

A: Formation of the differential equation, to the equation of the parabola with axis parallel to the…

Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

Q: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

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Q: What is the effect on the graph of a parabola if it's equation in standard form has increasing value…

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Q: write in standard(vertex) form the equation for the parabola which has the following properties:…

A: Given, Parabola equation has zeros at x=1 and x=7. Maximum value = 12 The standard form of the…

Q: What is the line that cuts a parabola into two equal parts? * Your answer

A: Topic:- geography      axis of symmetry: A line that divides the parabola into two equal halves and…

Q: Shonte graphs the parabola (y + 2)² (y + 2)² = −12 (x - 5). How does she proceed? Drag a value,…

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Q: Consider the parabola defined by the equation y = x² - 4x + 3. Find the coordinates of the vertex of…

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Q: What is the equation for a parabola

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Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

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Q: Describe how to change an equation to translate the parabola vertically

A: We can translate the parabolic equations vertically. To produce the new parabola that is similar to…