3. Find the points of intersection of the parabola ²-4x+y=0 and the line-2x+y=-3

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

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

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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: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

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

A:

Q: Write the equation in vertex form of a parabola with zeros of 5 and 3 and goes through the point…

A: Here we have to find the equation of parabola

Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: The parabola with equation y = ax² + bx+c intersects the x-axis in x = -3 and x = 5 and has the…

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Q: Please find the coordinates of the midpoint of the line segment joining the points of intersection…

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Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: a. Consider the parabola f(x) = x² -4x + 3 i) Write the equation in vertex form. ii) Find the vertex…

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Q: Write the equation of the parabola y = x x² - 6x +14 in vertex form y - k = (x − h)² -

A: y=x2-6x+14we  know  (x-3)2=x2+9-6x

Q: Find the equation of the parabola by using three points (4,0), (2,8), and (6,0). Step 1. Write the…

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Q: Identify the x and y-intercept(s) for the parabola with the equation y = 3x² + 3x - 6. Select one: O…

A: The given equation of the parabola is: y=3x2+3x-6  To identify the x and y-intercept(s) for the…