Quadratics in Standard Form

What do we call the highest or lowest point of a quadratic?

• parabola
• vertex
• graph
• point

Tags

CCSS.HSF.IF.C.7

What is the vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry?
f(x) = x² - 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If a is negative in the function, which way does the parabola open?

• up

• down

• left

• right

Identify A, B, and C if y=3x²-8+5x

• A=3, B=5, C=-8

• A=3, B=-8, C=5

• A=3x², B=5x, C=-8

• A=3x² , B=-8, C=5x

Comparing the functions, which is the most narrow?

• f(x)=3x²

• g(x)= -2x²

• h(x)=0.5x²

• a(x)=12x²

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Changing the c value of a standard form quadratic (y=ax²+bx+c) transforms the graph how?

• Up and down

• Left or right

• Reflects over x axis

• Up only

• Creates a change in the universe that is so chaotic it creates a new galaxy

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Which function's graph is the result of shifting the graph of f(x)=-x²-4, 3 units down?

• g(x)=-x²-1

• g(x)=-4x²-4

• g(x) = -1/3x²-4

• g(x)=-x²-7

Does the parabola open or or down?

Y = -3x² +7x - 2

• up

• down

What is the vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7