Graphing Quadratics from Standard Form

Does the equation open or or down? 
Y = -3x² +7x - 2

• up

• down

Tags

CCSS.HSF-IF.C.7A

Does the equation have a max or min?
y = 2x² + 7x + 5

• max

• min

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)

• (0, -6)

• (6, 0)

• (-6, 0)

Tags

CCSS.HSF-IF.C.7A

What is the vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Range : (d)  

• (-3, -5)

• (0, 4)

• x = -3

• x ≥ -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• x ≥ 3

• x = -5

• -4

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

The graph of quadratic function f is shown on the grid.

f(x) = (x + 3)² − 5

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

Graph the function.

f(x) = 2x² − 8x + 6

​

Tags

CCSS.HSF-IF.C.7A

A quadratic graph passes through the point (2, 8) and has a vertex of (-2, -4). Drag the correct coefficients and constant to represent the Standard Form Equation.

i

g

f

3

-8

8

-1

5

-3