How do you graph the function, label the vertex, axis of symmetry, and x-intercepts. #x-4 = 1/4 (y+1)^2#?
The vertex is at (
The axis of symmetry is
The
There are no
The standard form for the equation of a parabola is
Your equation is We must get this into standard form. This is standard form, but with We are going to get a sideways parabola. Vertex Since The Insert this value of The vertex is at ( Axis of symmetry The axis of symmetry must pass through the vertex, so The axis of symmetry is To find the The To find the The discriminant Since There are no Graph Now we prepare a table of The axis of symmetry passes through Let's prepare a table with points that are 5 units on either side of the axis, that is, from
Plot these points.
And we have our graph. The red line is the axis of symmetry.
By signing up, you agree to our Terms of Service and Privacy Policy
To graph the function (x-4 = \frac{1}{4}(y+1)^2):
- Rewrite the equation in vertex form: (y = a(x-h)^2 + k), where ((h, k)) is the vertex.
- Identify the vertex: ((h, k) = (4, -1)).
- Plot the vertex.
- The axis of symmetry is (x = 4).
- Since (a = \frac{1}{4}), the parabola opens upwards.
- Determine the x-intercepts by setting (y = 0) and solving for (x).
- Plot the x-intercepts.
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.
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.
- How do you find the vertex and the intercepts for #y=-x^2+x+12#?
- How do you solve using the completing the square method #4x^2 + 20x + 25 = 49#?
- How do you use the graph to solve #0=x^2+3x+2#?
- How do you solve #12x^2 + 2x = 0#?
- 'L varies jointly as a and square root of b, and L = 72 when a = 8 and b = 9. Find L when a = 1/2 and b = 36?

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