3.2.69)
The given equation is:
x^2 + y^2 - 4x - 6y + 4 = 0
to get y intercepts, put x=0
0^2 + y^2 - 4*0 - 6y + 4 = 0
y^2 - 6y + 4 = 0
This is quadratic equation (ay^2+by+c=0)
a = 1
b = -6
c = 4
Roots can be found by
y = {-b + sqrt(b^2-4*a*c)}/2a
y = {-b - sqrt(b^2-4*a*c)}/2a
b^2-4*a*c = 20
roots are :
y = 5.236 and y = 0.7639
These are y intercepts
Answer: y intercepts are:
y = 5.2 and y = 0.76
b)
To get x intercepts, put y=0
x^2 + y^2 - 4x - 6y + 4 = 0
x^2 + 0^2 - 4x - 6*0 + 4 = 0
x^2 - 4x + 4 = 0
(x-2)^2 = 0
x = 2
This is x intercepts
Answer: x intercept is:
x=2
I am allowed to answer only 1 question at a time
0 3.2.69) Find the x-intercepts and y-intercepts of the circle x2 + y2-4x- 6y +4 3.4.25)...
x2 Find the x and y intercepts for the equation y2 23.(2 pts.) 4 25 x-intercepts y-intercepts
A circle has the equation x + y -X-6y + 9 = 0. Graph the circle using the center (h.k) and radius r. Find the intercepts, if any, of the graph. Use the graphing tool to graph the circle. 1. Click to enlarge graph What are the intercepts? Select the correct choice below and fill in any answer boxes within your choice. A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.). OB. There...
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2 9 y Oy2-36x x2 36 y Oy2 = -9x 5. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. (2 points) 1 x2 28 1 X = y2 28 -28y x2 Oy2 14x = 9. (2 points) 4. Find the...
) Find the center and radius of the circle with equation x2 + 6x + y2 - 4y = 12. a) o center is (-3, 2) and radius is 5 b) o center is (3, -2) and radius is 5 c) center is (3, -2) and radius is 2/3 center is (-3, 2) and radius is 2/3 4) The equation of the parabola with focus (-3, 2) and vertex at (-3, 0) is (x +3) = - 8(y 2) a)...
Find the vertex and the x-intercepts (if any) of the parabola. (If an answer does not exist, enter DNE.) f(x) = 2x2 - 9x - 5 vertex (x, y) = ( 9/4 ✓ , -121/8 x-intercept (x, y) = ( ) (smaller x-value) x-intercept (x,y) = ( (larger x-value)
6. Given x2 + y2 - 4x -Ny-16 = 0 is the equation of a circle in general form, which of the following represents the standard form of this circle? A) (x-4)2 + (y - 3)2 = 36 B) (x - 2)2 + (y - 4)2 = 36 6) C) (x - 2)2 + (y - 4)2 = 6 D) (x + 4)2 + ( + 8)2 = 36 E) None of the Above 7. Write the equation of a...
#4 Complete the squares. a) x2 + 4x - y - 12 = 0 for x b) 2x + y2 - 6y = 1 for y #5 Solve the system of equations sx - y = 11 a) 12x + y = 19 1-3x - 2y = 1 b) 16x + 4y = -2
6. Given the equation: y = x2 + 4x + 3 a. (3 pts) Find the vertex b. (3 pts) Find two other points on the parabola and graph the equation on the grid below 7. (4 pts) Graph the following linear equation on the grid below: y = x-5 3
24) a. Find the x intercepts for the parabola whose equation is: b. Find the y intercept for the parabola whose equation is: y x2-7x +10 25) If f(x) 5x +4, find f(5)
graph the quadratic function. Find the x- and y-intercepts of each graph, if any exist. If it is given in general form, convert it into standard form; if it is given in standard form, convert it into general form. Find the domain and range of the function and list the intervals on which the function is increasing or decreasing. Identify the vertex and the axis of symmetry and determine whether the vertex yields a relative and absolute maximum or minimum....