Sketch the parabola using the given information vertex ​(0​,-3​), point ​(-2​,6​)

Answer 1

vertex (0,-3) through point (-2,6)

y = a(x-0)^2 -3 plug in the point to find "a"

6 = a(-2)^2 -3

9 = 4a

a = 9/4

y = 9x^2/4 -3 is the parabola's equation

or y = 2.25x^2 -3

Answer 2

y = ax² - 3; 6 = a(- 2)² - 3; 4a = 9; a = 9/4; y = 9/4x² - 3;

Answer 3

In this question, we are given the vertex (0, -3) and the point (-2, 6)

We can represent the vertex as (h,k) (this means 0 is h and -3 is k)

Point representation is (x,y) (x = -2 and y is 6)

Plug this to the formula: y = a(x - h)^2 + k

6 = (-2x - 0h)^2 - 3 (Simply a = 4/9)

So plug this back to the original formula:

y = 4/9x -3

If you would want to graph this, go to desmos or just draw a coordinate plane and plug in x = 0, x = 1, x = 2, x = -1 and you should get a good graph.

If you would like easy step by step instructions like this please feel free to contact me! I can definitely help you with all your algebra 2 questions. You can check my bio for more details.

I hope this response was helpful.

Answer 4

See the videa.

Answer 5

Hey Milana! I want you to follow this secret recipe to solve this problem in the easiest possible manner!! Remember, I offer my online tutoring sessions for only $25/hr and I'm always happy to adjust to your schedule!! Now, let's start!!

1. The standard form of a parabola with vertex (h,k) is: y=a(x-h)^2+k. You are given the vertex as (0,-3).
2. Substitute the vertex so it will be: y=a(x-0)^2-3, which is: y=ax^2-3.
3. Since you are given the point (-2,6), substitute this point in the equation.
4. It will be: 6=a(-2)^2-3 which simplifies to 6=4a-3. From this, you get a=9/4.
5. Now, construct the quadratic equation with x and y once again: y=(9/4)x^2-3.
6. From here, we know that the parabola is convex (its opening is facing upwards) since the coefficient of x^2 is positive.
7. Also, since the "vertex" is (0,-3), this means the lowest point in the parabola is (0,-3).
8. Finally, you can begin substituting using different x values in your equation and find corresponding y values and sketch points accordingly and connect points to form the parabola.

Here we are!! So Manageable!! So easy!!