Practice With Standard, Vertex, and Factored Form

Which function matches the graph?

Answer explanation

These functions are given in the factored form, so use the x-intercepts to determine the correct function.

Tags

CCSS.HSF-IF.C.7A

Which function matches the graph?

Answer explanation

These functions are given in the standard form. Use the leading coefficient and the y-intercept to determine the correct function.

Tags

CCSS.HSF-IF.C.7A

• Standard

• Factored

• Vertex

Which function matches the graph?

Answer explanation

These functions are given the vertex form. Use the vertex and concavity of the graph to determine the correct function.

Tags

CCSS.HSF-IF.C.7A

Identify the vertex and whether the graph opens up or down. (a)  

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

What is the vertex of the graph of...

y=x²+8x+10

• (-4,-6)

• (4,-6)

• (8,10)

• (-4,26)

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

If a is ___________, the vertex is a minimum.

• Positive

• Negative

• Zero

Find the coordinates of the vertex of the graph of y = –2x² – 8. Identify the vertex as a maximum or a minimum point.

• (–2, –16); minimum

• (2, –16); maximum

• (–2, 8); maximum

• (0, –8); maximum

Which of the following is the correct equation for the given graph? (a)  

• f(x) = -(x + 2)^2 - 4

• f(x) = -(x - 2)^2 - 4

• f(x) = -3(x - 2)^2 - 4

• f(x) = -3(x + 2)^2 - 4

Tags

CCSS.HSF-IF.C.7A