Writing Prompt: Given the standard form and the vertex form of the function, f(x) = 4x2-8x+13 and f(x) = 4(x-1)2 + 9, Describe at least four (4) of the parts of the equation(s) listed above, using your graphing calculator. Describe your graph by writing two paragraphs or more summarizing your results. Describe any advantages of having it written in standard form or vertex form. Use complete sentences.

Response:

Vocabulary
o axis of symmetry
o maximum value
o minimum value
o quadratic function
o reflection
o standard form of the quadratic function
o translation
o vertex
o vertex form of the quadratic function
o vertical compression
o Function
o Table

Sentence Stems
I know that the… By looking at the… I can describe the…
I remember that… When I observe… I am able to determine…
In class I learned… Every time that I… We can see that….
First of all… Sometimes I ….. In comparison…

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.