Question

1) Write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point.

Vertex: (3, −1); point: (5, 7)

*f*(*x*) = __

2) Write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point.

Vertex: (4, 5); point: (0, 1)

*f*(*x*) = __

3) Write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point.

Vertex: (−2, −2); point: (−3, 0)

f(x)= __

Answer #1

1.) Find the standard form of the equation of the parabola with
the given characteristic(s) and vertex at the origin.
Horizontal axis and passes through the point (−4, 7)
2.) Find the standard form of the equation of the parabola with
the given characteristics.
Vertex: (5, 1); focus: (3, 1)

Complete the general form equation of the parabola that passes
through (1,-20) with vertex at (-2,-2)
Enter the quadratic expression in GENERAL FORM, ax^2 + bx
+c.
F(x)=________

Find the standard form of the equation of the parabola
satisfying the given conditions.
Vertex:
(1,−2);
Focus:
(1,−3)

1)
Find the equation of the line that psses through the vertex if the
parabola f(x)=2x^2-12x+19 and that crosses the x-axis at x=5
2) Find the equation of the line that passes through the
certex of the parabala f(x)=3x^2-12x+17 and has y-intercept of
(0,10)

. Find the second degree equation if the vertex of the parabola
is (4, -2) and one point on the parabola is (1, 5).
Sketch y = ?−4 /(?+1)(?−2)
Tell me ALL your considerations!
If there is a horizontal asymptote, does your graph cross it?
Where? Show me your work to justify your answer.

1. Write the equation for the following conic sections in
standard form:
(a) An ellipse centered at (2,-5) that passes through (2,-3)
with foci at (4,-5) and (0,-5).
(b) A hyperbola with vertices at (1,0) and (1, 4) and foci at
(1,-1) and (1, 5).

Equation for parabola vertex (-4,-1) focus (0,-1)

1. Identify the vertex of the quadratic equation y=2x2+8x-10.
using the formula
2. Write the equation y=2x2+8x-10. in vertex form using the
vertex found in #1.
3. Show how you can use completing the square to go from the
standard form of the equation in #1 to the vertex form found in
#2.
4. Explain the relationship between the solutions to the
quadratic equation 0=2x2+8x-10 and the graph of the quadratic
equation y=2x2+8x-10.
5. How many solutions are possible when...

Find the equation of the line (in standard form Ax + By= C ,
please) passing through the vertex of the parabola x^2 + y- 2x +
6=0 and perpendicular to the line with equation 3x - 2y = 2 .

he equation for a parabola has the form ?=??2+??+?y=ax2+bx+c,
where ?a, ?b, and ?c are constants and ?≠0a≠0. Find an equation for
the parabola that passes through the points (−1,−10)(−1,−10),
(−2,−1)(−2,−1), and (−3,18)(−3,18).

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