Quadratic Function Graph and Equation

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

• The graph is congruent and is translated down.

• The graph is wider and opens downward.

• The graph is congruent and is translated up.

• The graph is narrower and opens downward.

How will the graph of f(x) = 3x² - 1 be affected if x² becomes (x - 2)^2?

• The vertex of the graph will move left 2 units.

• The vertex of the graph will move up 2 units.

• The vertex of the graph will move right 2 units.

• The vertex of the graph will move down 2 units.

Which quadratic is the narrowest graph?

• y = 3x²

• y = 4x²

• y = 2x²

What is the range of this function?

• (- ∞,+∞)

• [0, +∞)

• [-2, +∞)

• [2, +∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Write a quadratic equation given the x intercepts and one other point. Step 1: Write the factors. The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Which equation could match the graph?

• y = (x + 1)(x + 4)

• y = (x - 1)(x - 4)

• y = (x - 4)(x - 4)

• y = (x + 2.5)(x + 4)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Use the graph to determine the X-intercepts

• (-1,0) and (-3,0)

• (1,0) and (3,0)

• (0,1) and (0,3)

• (0,-1) and (0,-3)

Tags

CCSS.HSF-IF.C.7A

Name the vertex to the given quadratic graph

• (2,3)

• (3,2)

• (0,-1)

• (4,-1)

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

What is the decreasing interval on the function shown?