# How do you write the quadratic equation given Vertex: (-2,0) Passing through: (0,3)?

The required quadratic equation

A little inspection tells us that the vertex is lower than the given point. We can conclude that the parabola opens upward.

Let us use the two given points to solve for p:

God bless....I hope the explanation is useful.

By signing up, you agree to our Terms of Service and Privacy Policy

To write the quadratic equation given the vertex (-2, 0) and passing through (0, 3), you can use the vertex form of a quadratic equation, which is (y = a(x - h)^2 + k), where (h, k) is the vertex. Substituting the given vertex coordinates into the equation, we get (y = a(x + 2)^2). Then, use the given point (0, 3) to find the value of 'a'. Substitute the coordinates of the point into the equation and solve for 'a'. We have (3 = a(0 + 2)^2). Solving this equation gives (a = \frac{3}{4}). Therefore, the quadratic equation is (y = \frac{3}{4}(x + 2)^2).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7