Quadratics in Vertex Form

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

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

• x=4
• x=-4
• x=1/2
• x=3

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Which equation is graphed above?

• $y=-\left(x-1\right)^2+4$

• $y=\left(x-1\right)^2+4$

• $y=-\left(x-4\right)^2+1$

• $y=\left(x-4\right)^2+1$

Tags

CCSS.HSF-IF.C.7A

Which equation matches the  graphed above?

• $p\left(x\right)=\left(x-1\right)^2+4$

• $p\left(x\right)=\left(x-4\right)+1$

• $p\left(x\right)=-\left(x+1\right)^2-4$

• $p\left(x\right)=-\left(x+4\right)\ ^2-1$

Tags

CCSS.HSF-IF.C.7A

Explain the translation:

y = x² - 7

• translated left 7

• translated right 7

• translated up 7

• translated down 7

Explain the translation:

y = (x + 9)² + 5

• translated left 9, up 5

• translated left 9, down 5

• translated right 9, up 5

• translated right 9, down 5