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.

the probability is 0

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: