SOLUTION: Will you please help me with the following problem? Put the following quadratic in standard form, identify the vertex, y-intercept, and graph including two symmetrical points to

Question 591: Will you please help me with the following problem?
Put the following quadratic in standard form, identify the vertex, y-intercept, and graph including two symmetrical points to the left and right of the vertex.
Answer by janinecb(25) (Show Source): You can put this solution on YOUR website!
Different books actually have slightly different standard forms for the parabola. One version is:
Where (h, k) is the vertex.

To find the y-intercept, just plug in zero for the x and solve for y.

To find two symmetrical points, find two numbers the same distance to the left and right of the x value of the vertex. Then plug them in for x and solve for y.

Example:
The vertex is (2, 1).

Plug in zero for x to find the y-intercept.

y = 4 + 1
y = 5 So the y-intercept in point form is (0, 5).

Pick two x values that are the same distance from the x value of the vertex, such as 1 and 3. Then plug them into the equation to find the y values to go with them on the graph.

y = 1 + 1
y = 2 So one point is (1, 2).

y = 1 + 1
y = 2 So a symmetrical point is (3, 2).

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