1) What is the standard or vertex form of a quadratic function? a) y = 𝑎𝑥 + 𝑏𝑥 + c b) y = a(x - h)2 + k c) y= ax2 + bx + c d) y= ax2 + c 2) What is the general form of a quadratic function? a) y = 𝑎𝑥 + 𝑏𝑥 + c b) y = a(x - h)2 + k c) y= ax2 + bx + c d) y= ax 2 + c 3) What is the vertex form of the equation 𝑦 = 3𝑥2 + 6x - 5? a) y = 3(x + 1)2 - 8 b) y = 3(x - 1)2 - 8 c) y = 3(x + 2)2 - 8 d) y = 3(x - 3)2 - 8 4) What is the formula to find the vertex of a quadratic function using (ℎ, 𝑘)? a) b) c) d) 5) What is the general form of the equation 𝑦 = 2(𝑥 – 3)2 + 5 a) y = 2x2 + 6x +23 b) y = 2x2 - 6x +23 c) y = 2x2 + 12x + 23 d) y = 2x2 - 12x + 23 6) 𝐺𝑖𝑣𝑒𝑛 𝑡ℎ𝑒 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑦 = 4x2 – 32𝑥 + 2, what is the vertex form? a) y = 4(x + 4)2 - 62 b) y = 4(x - 4)2 - 62 c) y = 4(x + 8)2 - 62 d) y = 4(x - 8)2 - 62 7) What is the general form of the equation 𝑦 = 4(𝑥 – 1)2 + 6? a) y = 4x2 - 8x + 10 b) y = 4x2 + 8x + 10 c) y = 4x2 - 8x + 2 d) y = 4x2 - 8x - 2 8) What is the value for h and k given the equation 𝑦 = x2 + 6𝑥 – 8? a) (3, 17) b) (-3, -17) c) (3, -17) d) (-3, 17) 9) What is the vertex of the quadratic function 𝑓(𝑥) = (𝑥 + 14)2 - 8? a) (14, 8) b) (-14, 8) c) (14, -8) d) (-14, -8) 10) What is the vertex form of the quadratic function 𝑓(𝑥) = 𝑥2 + 8x + 20 a) y = (x + 4)2 + 4 b) y = (x - 4)2 + 4 c) y = (x + 4)2 - 4 d) y = (x - 4) 2 - 4
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Transforming Quadratic Functions from General Form to Standard Form and Vice Versa
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