All parabolas are symmetric with respect to a line called the axis of symmetry. A parabola intersects its axis of symmetry at what point?

a.
vertex
b.
function
c. translation
d. y-intercept

Is it A. vertex?

correct

f(x)=-(x-1)^2+4

Yes, you are correct. A parabola intersects its axis of symmetry at the vertex.

Yes, you are correct. The point at which a parabola intersects its axis of symmetry is called the vertex.

To find the vertex of a parabola, you can use the formula x = -b/2a, where the equation of the parabola is in the form y = ax^2 + bx + c. The value of x = -b/2a gives you the x-coordinate of the vertex. To find the y-coordinate, substitute the x-value into the equation of the parabola. The resulting point (x, y) is the vertex of the parabola.

So, in this case, the answer is option A. vertex.