1.3 Quadratic Forms

Question 1

Quadratic in Vector Form

Answer 1

y=a(x-h)²+k

a, h, k are constants, a≠0

Question 2

Quadratic in Standard Form

Answer 2

y=ax²+bx+c

a. b, c are constants, a≠0

Question 3

Quadratic in Factored Form

Answer 3

y=a(x-s)(x-t)

a, s, t are constants, a≠0

Question 4

The graph of a Parabola is a function called

Answer 4

Quadratic, or 2nd order Polynomial

Question 5

The graph of a line is a function called

Answer 5

Linear, or a 1st order Polynomial

Question 6

Given y=a(x-h)²+k,
the vertex will be

Answer 6

point (h, k)

Question 7

Given y=(x-2)²+5,
the vertex will be

Answer 7

(2, 5)

Question 8

Given y=4(x-2)²+5,
the parabola will be shifted

Answer 8

Right by 2 and Up by 5

Shifts are also called Translations

Question 9

Given y=½(x+1)²-4,
the vertex will be

Answer 9

(-1, -4)

Question 10

Given y=(x+1)²-4,
the parabola will be shifted

Answer 10

Left by 1 and Down by 4

Shifts are also called Translations

Question 11

Given y=-½(x+1)²-4,
the parabola will compressed or stretched?

Answer 11

Compressed by ½

Compressed by a factor of ½

Question 12

Given y=4(x-2)²+5,
the parabola will be compressed or stretched?

Answer 12

Stretched by 4

Stretched by a factor of 4

Question 13

Given y=-⅓(x-2)²+5,
what are all the transformations?

Answer 13

Opens Down
Compressed by ⅓
Translated right by 2
and up by 5

Stretched by a factor of 4

Question 14

Given y=4x²+5,
which Vector-form constant is zero?

Answer 14

y=4(x-0)²+5
h=0
So the vertex is (0,5)