Graph Vertex Form and Table of Values

Write a quadratic equation given the table:

What is the vertex of the following equation?
y=5(x-3)²+5

• (3,5)

• (-3,5)

• (3, -5)

• (-3,-5)

What equation represents the quadratic function?

• y = (x - 5)² - 3

• y = (x - 5)² + 3

• y = (x + 5)² - 3

• y = (x - 3)² - 5

Tags

CCSS.HSF-IF.C.7A

What is the range of this function?

• All real numbers.

• All real numbers greater than or equal to 0.

• All real numbers greater than or equal to -2.

• All real numbers greater than or equal to 2.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The table shows values of quadratic function h. Using the table as reference, how does the graph of the function h compare to the graph of the parent function?

• The function h(x) is reflected across the x-axis

• The function h(x) is reflected across the y-axis

• The function h(x) is shifted 5 units down

• The function h(x) is shifted 5 units up

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical shift 4 units up

• a vertical shift 4 units down

• a horizontal shift 4 units to the left

• a horizontal shift 4 units to the right

What equation represents the quadratic function?

• y = -(x - 5)² 

• y = -x² + 5

• y = x² - 5

• y = (x - 5)² 

Tags

CCSS.HSF-IF.C.7A

Based on this table of values of a quadratic function, what is the VERTEX?

• (-4, 0)

• cannot be determined

• (-1, -9)

• (0, -8)

The graph shown here represents which quadratic function?

Tags

CCSS.HSF-IF.C.7A

The graph shown here has _________.

• one real solution

• two real solutions

• infinitely many solutions

• no real solutions