Question

Analyze the parabola.

1. Identify how the parent function
function, f(x) = x² can be
transformed to create the
parabola.
2. Based on the transformations,
write the equation of the function
in vertex form.
ertex form:
ransformations
AY

Answer 1

To create a parabola from the parent function f(x) = x², we can apply transformations such as translations, reflections, stretches, and compressions. The equation of the function in vertex form is f(x) = a(x - h)² + k.

Step-by-step explanation:

1. To create a parabola from the parent function f(x) = x², we can apply transformations such as translations, reflections, stretches, and compressions. For example, to create a parabola that opens downwards with the vertex at (h, k), we can use the equation f(x) = a(x - h)² + k.

2. Based on the given transformations, we can write the equation of the function in vertex form. The vertex form is f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola. We can substitute the given values of h, k, and a to obtain the specific equation of the transformed parabola.

Learn more about Analyzing the transformations of a parabola