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

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.

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 

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?

The graph shown here has _________.

• one real solution

• two real solutions

• infinitely many solutions

• no real solutions