Mr. C Algebra 1 Unit 7D

Y-Intercept & Direction (Standard Form)

100

State the y-intercept and direction of
y = x² + 4x + 10

y-intercept: (0, 10)
Parabola: Opens Up
MUST INCLUDE BOTH!

200

State the y-intercept and direction of
y = -x² + 3x - 5

y-intercept: (0, -5)
Parabola: Opens Down
MUST INCLUDE BOTH!

300

State the y-intercept and direction of
y = 2x² - 7x

y-intercept: (0, 0)
Parabola: Opens Up
MUST INCLUDE BOTH!

400

State the y-intercept and direction of
y = -4x² + 12

y-intercept: (0, 12)
Parabola: Opens Down
MUST INCLUDE BOTH!

500

State the y-intercept and direction of
y = -x² - 9x + 25

y-intercept: (0, 25)
Parabola: Opens Down
MUST INCLUDE BOTH!

Vertex & Direction (Vertex Form)

100

State the vertex and direction of
y = (x - 2)² + 5

Vertex: (2, 5)
Parabola: Opens Up
MUST INCLUDE BOTH!

200

State the vertex and direction of
y = -(x + 4)² - 1

Vertex: (-4, -1)
Parabola: Opens Down
MUST INCLUDE BOTH!

300

State the vertex and direction of
y = 3(x - 6)²

Vertex (6, 0)
Parabola: Opens Up
MUST INCLUDE BOTH!

400

State the vertex and direction of
y = -2(x + 1)² + 7

Vertex (-1, 7)
Parabola: Opens Down
MUST INCLUDE BOTH!

500

State the vertex and direction of
y = -x² - 9

Vertex (0, -9)
Parabola: Opens Down
MUST INCLUDE BOTH!

Roots & Direction (Factored Form)

100

State the roots and direction of
y = (x - 3)(x - 7)

Roots: (3 ,0) (7, 0)
Parabola: Opens Up
MUST INCLUDE BOTH!

200

State the roots and direction of
y = -(x + 2)(x - 5)

Roots: (-2,0) (5, 0)
Parabola: Opens Down
MUST INCLUDE BOTH!

300

State the roots and direction of
y = (x + 8)(x + 1)

Roots: (-8,0) (-1, 0)
Parabola: Opens Up
MUST INCLUDE BOTH!

400

State the roots and direction of
y = -x(x - 9)

Roots: (0,0) (9,0)
Parabola: Opens Down
MUST INCLUDE BOTH!

500

State the roots and direction of
y = -(x + 6)²

Root: (-6 , 0)
Parabola: Opens Down
MUST INCLUDE BOTH!

Axis of Symmetry(Standard Form)

100

Find the axis of symmetry for
y = x² - 4x + 3

Answer: x = 2
MUST INCLUDE " x = "

200

Find the axis of symmetry for
y = x² + 6x - 1

Answer: x = -3
MUST INCLUDE " x = " 

300

Find the axis of symmetry for
y = -x² - 8x + 2

Answer: x = -4
MUST INCLUDE " x = " 

400

Find the axis of symmetry for
y = 2x² - 12x + 5

Answer: x = 3
MUST INCLUDE " x = " 

500

Find the axis of symmetry for
y = -3x² + 18x - 7

Answer: x = 3
MUST INCLUDE " x = " 

Equivalent Equations

100

Convert to standard form:
y = (x - 2)(x - 3)

Standard Form:
y = x² - 5x + 6

200

Convert to standard form:
y = (x - 4)(x + 4)

Standard Form:
y = x² - 16

300

Convert to standard form:
y = (x - 1)² + 4

Standard Form:
y = x² - 2x + 5

400

True or False: y = (x - 4)(x + 2) is equivalent to
y = x² - 2x - 8

True

500

What form(s) is(are) this equation currently in?
y = (x + 3)² 

Vertex Form and Factored Form
MUST INCLUDE BOTH ANSWERS
h=-3   k= 0  OR (x + 3)(x + 3)