Ch.4 Graphs & transformations

Question 1

how many times could a cubic graph cross the x-axis?

Answer 1

only once, twice or three times

Question 2

what does the cubic equation of a line look like?

Answer 2

y = ax³ + bx² + cx + d

Question 3

what does the quartic equation of a line look like?

Answer 3

y = ax⁴ + bx³ + cx² + dx + e

Question 4

how does f(x) + a translate a graph?

Answer 4

it moves up by a or a is added to y - coordinates

Question 5

how does f(x) - a translate a graph?

Answer 5

moves down by a or subtract a from y - coordinates

Question 6

how does f(x + a) translate a graph?

Answer 6

moves left by a or subtract a from x-coordinates

Question 7

how does f(x - a) translate a graph?

Answer 7

moves right by a or add a to x-coordinates

Question 8

how does af(x) transform a graph?

Answer 8

stretches vertically by multiplying y-coordinates by a

Question 9

how does f(ax) transform a graph?

Answer 9

stretches horizontally by multiplying x-coordinates by 1/a

Question 10

how does f(-x) transform a graph?

Answer 10

reflects in the y-axis or negates x-coordinates

Question 11

how does -f(x) transform a graph?

Answer 11

reflects in x-axis or negates y-coordinates

Question 12

what does a quartic graph equation look like?

Answer 12

ax⁴ + bx³ + cx² + dx + e

Question 13

what does congruent mean?

Answer 13

identical

Question 14

what does collinear mean?

Answer 14

all on the same line