Using graph paper, draw a picture containing graphs of lines, parabolas, absolute values, circle ellipse and hyperbolas. The picture must contain graphs of a minimum of ten different equations.

Q: Write the vertex form equation of the parabola: vertex: (2, 2) directerix: x = -1

A: The vertex of the parabola is h, k=2, 2. The directrix is x=-1. The vertex is in the 1st quadrant…

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: Can the graph of an equation x2 + y2 = 25,have more than one form of symmetry?

A: To determine: The graph of given equation and its symmetry.

Q: 8) and directrix y = 7? A B y = -(x - 5)² +8 - y=- 1 -(x + 5)² +8 y = -(x + 5)² - 8 D_y==(x + 5)² +8…

A: Given query is to find the equation of the parabola.

Q: 10. f(x) = -x² + 5x 29 Up or Down AOS: x= V( , ) Min or Max

A:

Q: Determine the equation of a parabola whose zeros are 2 and -11 and whose graph passes through the…

A: The zeros of the parabola are 2 and -11 and the graph passes through the point (3, 84). Let the…

Q: Determine whether statement, "Find the standard form of the equation of an ellipse with vertices at…

A: Vertices of the ellipse are 0, -6 & 0, 6 and it passes through the point 2, -4. Since the…

Q: The line passing through the vertex that divides the parabola into two symmetric parts is . The two…

A:

Q: Is it possible for two different parabolas to have the same focus and vertex? Explain with proof.

A: Actually, there cannot be two different parabolas with same focus and vertex..

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: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

Q: Write the equation of a parabola given vertex 2,4 and point 8,0. And please identify the focus.

A:

Q: 3 2 -7 -6 –5 –4 –3 2 3 4 5 6 7 -2 -4. -5 -7

A: Given, The graph of the parabola is