Graph a parabola whose vertex is at (3,5) with y-intercept at y=1

The equation of the parabola is ; see attachment for its graph

The given parameters are:

(h,k) = (3,5) --- The vertex

(x,y) = (0,1) ---- the y-intercept

A parabola is represented as:

Substitute the given values in the equation

Evaluate the bracket

Expand the bracket

Subtract 5 from both sides

Divide both sides by 9

So, the equation of the parabola becomes

See attachment for the graph of the parabola

Read more about parabolas at:

link

Graph

Step-by-step explanation:

Given: Vertex: (3,5) and y-intercept at y=1

Passing point: (0,1)

Vertex form of parabola:

where, (h,k) is vertex.

Passing point: (0,1)

Equation of parabola:

Plot vertex and y-intercept for graph.

Please see the attachment for graph.